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KTG & THERMODYNAMICS

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
A diatomic gas does of work when it is expanded isobarically. The heat given to the gas in the process...
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Q JEE MAIN 2026
In the following $p-V$ diagram the equation of state along the curved path is given by $(V-2)^2=4 a p$ where...
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Q JEE MAIN 2026
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Q JEE MAIN 2026
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Q JEE MAIN 2026
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature $50^{\circ} \mathrm{C}$....
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Q JEE MAIN 2026
One mole of an ideal diatomic gas expands from volume V to 2 V isothermally at a temperature $27^{\circ} \mathrm{C}$...
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Q JEE MAIN 2026
The internal energy of a monoatomic gas is 3 nRT . One mole of helium is kept in a cylinder...
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Q JEE MAIN 2026
An insulated cylinder of volume $60 \mathrm{~cm}^3$ is filled with a gas at $27^{\circ} \mathrm{C}$ and 2 atmospheric pressure, Then...
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Q JEE MAIN 2026
The volume of an ideal gas increases 8 times and temperature becomes $(1 / 4)^{\text {th }}$ of initial temperature...
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Q JEE MAIN 2026
A cylindrical tube $A B$ of length $l$, closed at both ends contains an ideal gas of 1 mol having...
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Q JEE MAIN 2026
Consider two boxes containing ideal gases $A$ and $B$ such that their temperatures, pressures and number densities are same. The...
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Q JEE MAIN 2026
10 mole of oxygen is heated at constant volume from $30^{\circ} \mathrm{C}$ to $40^{\circ} \mathrm{C}$. The change in the internal...
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Q JEE MAIN 2026
A diatomic gas $(\gamma=1.4)$ does 100 J of work when it is expanded isobarically. Then the heat given to the...
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Q JEE MAIN 2026
The r.m.s. speed of oxygen molecules at 47ºC is equal to that of the hydrogen molecules kept at ….. ºC....
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Q JEE MAIN 2020
A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases...
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Q JEE MAIN 2019
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the...
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Q JEE MAIN 2019
For the given cyclic process CAB as shown for a gas, the work done is
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Q JEE MAIN 2019
Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(=600 \mathrm{~K})$ and...
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Q JEE MAIN_2019_
A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise...
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Q JEE MAIN 2020
Number of molecules in a volume of $4 \mathrm{~cm}^3$ of a perfect monoatomic gas at some temperature T and at...
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Q JEE MAIN_2019_
A $25 \times 10^{-3} \mathrm{~m}^3$ volume cylinder is filled with 1 mol of $\mathrm{O}_2$ gas at room temperature ( 300...
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Q JEE MAIN 2019
An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K . The mean...
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Q JEE MAIN_2019_
n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The...
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Q JEE MAIN 2019
An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCI molecules in its gaseous phase...
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Q JEE MAIN 2019
A vertical closed cylinder is separated into two parts by a frictionless piston of mass $m$ and of negligible thickness....
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Q JEE MAIN 2020
Initially a gas of diatomic molecules is contained in a cylinder of volume $\mathrm{V}_1$ at a pressure $\mathrm{P}_1$ and temperature...
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Q JEE MAIN 2020
An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of...
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Q JEE MAIN 2020
Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K , the de-Broglie wavelength of nitrogen molecule is...
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Q JEE MAIN 2020
In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies...
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Q JEE MAIN 2019
A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this...
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Q JEE MAIN 2020
Consider two ideal diatomic gases A and B at some temperature $T$. Molecules of the gas $A$ are rigid, and...
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Q JEE-MAIN 2020
Nitrogen gas is at $300^{\circ} \mathrm{C}$ temperature. The temperature (in K ) at which the rms speed of a $\mathrm{H}_2$...
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Q JEE MAIN 2019
A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational...
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Q JEE MAIN 2020
The plot that depicts the behavior of the mean free time $\tau$ (time between two successive collisions) for the molecules...
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Q JEE MAIN 2020
A thermodynamic cycle xyzx is shown on a V-T diagram The P-V diagram that best describes this cycle is :...
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Q JEE MAIN 2019
When heat $Q$ is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $...
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Q JEE Main 2019
Three Carnot engines operate in series between a heat source at a temperature $T_1$ and a heat sink at temperature...
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Q JEE MAIN 2020
A closed vessel contains 0.1 mole of a monatomic ideal gas at 200 K. If 0.05 mole of the same...
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Q JEE MAIN 2020
Match the $\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}$ ratio for ideal gases with different type of molecules
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Q JEE MAIN 2019
One mole of an ideal gas passes through a process where pressure and volume obey the relation $\mathrm{P}=\mathrm{P}_0\left[1-\frac{1}{2}\left(\frac{\mathrm{v}_0}{\mathrm{v}}\right)^2\right]$. Here $\mathrm{P}_0$...
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Q JEE MAIN 2020
A two point charges $4 q$ and $-q$ are fixed on the xaxis at $x=-\frac{d}{2}$ and $x=\frac{d}{2}$, respectively. If a...
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Q JEE MAIN 2019
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation...
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Q JEE MAIN 2019
Following figure shows two processes A and B for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount...
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Q JEE MAIN 2019
For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2...
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Q JEE MAIN 2019
A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature $27^{\circ} \mathrm{C}$. Amount of heat...
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Q JEE MAIN 2019
Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(=600 \mathrm{~K})$ and...
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Q JEE MAIN 2020
A Carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the...
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Q JEE MAIN 2021
Consider a mixture of n moles of helium gas and $2 n$ moles of oxygen gas (molecules taken to be...
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Q JEE MAIN 2020
A litre of dry air at STP expands adiabatically to a volume of 3 litres. If $\gamma=1.40$, the work done...
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Q JEE MAIN 2019
The specific heats, $\mathrm{C}_{\mathrm{P}}$ and $\mathrm{C}_{\mathrm{V}}$ of a gas of diatomic molecules, A , are given (in units of $...
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Q JEE MAIN 2021
A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $...
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Q JEE MAIN 2019
Two kg of a monoatomic gas is at a pressure of $4 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. The density of...
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Q JEE MAIN 2021
A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $...
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Q JEE MAIN 2021
A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses...
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Q JEE MAIN 2021
A mixture of hydrogen and oxygen has volume $500 \mathrm{~cm}^3$, temperature 300 K , pressure 400 kPa and mass 0.76...
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Q JEE MAIN 2019
Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20°C to 90°C. Work...
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Q JEE MAIN 2021
For an ideal gas the instantaneous change in pressure ' $p$ ' with volume ' $v$ ' is given by...
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Q JEE MAIN 2021
A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses...
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Q JEE MAIN 2021
A mixture of hydrogen and oxygen has volume $500 \mathrm{~cm}^3$, temperature 300 K , pressure 400 kPa and mass 0.76...
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Q JEE-MAIN 2021
A heat engine operates between a cold reservoir at temperature $T_2=400 \mathrm{~K}$ and a hot reservoir at temperature $T_1$. It...
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Q JEE-MAIN 2021
If the rms speed of oxygen molecules at 0°C is 160 m/s, find the rms speed of hydrogen molecules at...
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Q JEE-MAIN 2021
A reversible engine has efficiency of $1 / 4$. If the temperature of the sink is reduced by $58^{\circ} \mathrm{C}$,...
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Q JEE MAIN 2021
The rms speeds of the molecules of Hydrogen, Oxygen and Carbondioxide at the same temperature are $\mathrm{V}_{\mathrm{H}}$, $\mathrm{V}_0$ and $\mathrm{V}_c$...
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Q JEE-MAIN 2021
A refrigerator consumes an average 35 W power to operate between temperature –10°C to 25°C. If there is no loss...
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Q JEE MAIN 2021
An electric appliance supplies $6000 \mathrm{~J} / \mathrm{min}$ heat to the system. If the system delivers a power of 90...
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Q JEE-MAIN 2021
A cylindrical container of volume $4.0 \times 10^{-3} \mathrm{~m}^3$ contains one mole of hydrogen and two moles of carbon dioxide....
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Q JEE-MAIN 2021`
The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0 °C without changing the pressure of...
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Q JEE MAIN 2021
Two Carnot engines A and B operate in series such that engine A absorbs heat at $\mathrm{T}_1$ and rejects heat...
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Q JEE MAIN 2021
A system consists of two types of gas molecules $A$ and $B$ having same number density $...
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Q JEE MAIN 2021
Two spherical soap bubbles of radii $r_1$ and $r_2$ in vacuum combine under isothermal conditions. The resulting bubble has a...
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Q JEE MAIN 2021
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from $27^{\circ} \mathrm{C}$ to...
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Q JEE MAIN 2021
a heat engine has an efficiency of $\frac{1}{6}$. When the temperature ofsink is reduced by $62^{\circ} \mathrm{C}$ its efficiency get...
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Q JEE MAIN 2021
Two Carnot engines A and B operate in series such that engine A absorbs heat at $T_1$ and rejects heat...
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Q JEE-MAIN 2021
A monoatomic ideal gas, initially at temperature $T_1$ is enclosed in a cylinder fitted with a frictionless pistion. The gas...
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Q JEE MAIN 2021
What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?
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Q JEE MAIN 2021
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from $27^{\circ} \mathrm{C}$ to...
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Q JEE MAIN 2021
In the reported figure, heat energy absorbed by a system in going through a cyclic process is ______ $\pi \mathrm{J}$.
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Q JEE MAIN 2019
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is...
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Q JEE MAIN 2021
Consider a mixture of gas molecule of types A, B and C having masses $\mathrm{m}_{\mathrm{A}}
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Q JEE MAIN 2021
In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas....
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Q JEE MAIN 2021
The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean...
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Q JEE MAIN 2021
The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from $0^{\circ} \mathrm{C}$...
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Q JEE MAIN 2021
The temperature of 3.00 mol of an ideal diatomic gas is increased by $40.0^{\circ} \mathrm{C}$ without changing the pressure of...
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Q JEE MAIN 2021
One mole of an ideal gas at $27^{\circ} \mathrm{C}$ is taken from A to B as shown in the given...
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Q JEE MAIN 2019
The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the...
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Q JEE MAIN 2021
The correct relation between the degrees of freedom f and the ratio of specific heat
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Q JEE MAIN 2021
Which of the following graphs represent the behavior of an ideal gas ? Symbols have their usual meaning
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Q JEE MAIN 2021
Consider a sample of oxygen behaving like an ideal gas. At 300 K , the ratio of root mean square...
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Q JEE MAIN 2021
An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one...
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Q JEE MAIN 2021
For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $\gamma$ is...
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Q JEE MAIN 2021
For an ideal heat engine, the temperature of the source is 127°C. In order to have 60% efficiency the temperature...
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Q JEE-MAIN 2021
Which one is the correct option for the two different thermodynamic processes ?
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Q JEE-MAIN 2021
An object is located at 2 km beneath the surface of the water. If the fractional compression $\frac{\Delta V}{V}$ is...
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Q JEE Main 2019
A gas can be taken from A and B via two different processes ACB and ADB. When path ACB is...
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Q JEE-MAIN 2021
If one mole of the polyatomic gas is having two vibrational modes and b is the ratio of molar specific...
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Q JEE Main 2019
A mixture of 2 moles of helium gas (atomic mass $=4 \mathrm{u}$ ), and 1 mole of argon gas (atomic...
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Q JEE MAIN 2021
Calculate the value of mean free path ( $\lambda$ ) for oxygen molecules at temperature $27^{\circ} \mathrm{C}$ and pressure $...
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Q JEE_MAIN2021
Two ideal polyatomic gases at temperatures $\mathrm{T}_1$ and $\mathrm{T}_2$ are mixed so that there is no loss of energy. If...
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Q JEE_MAIN_2021
A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The...
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Q JEE MAIN 2021
The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done...
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Q JEE_MAIN_2021
A polyatomic ideal gas has 24 vibrational modes. What is the value of $\_\_\_\_$ y ?
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Q JEE MAIN 2021
A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced...
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Q JEE MAIN 2021
1 mole of rigid diatomic gas performs a work of $Q / 5$ when heat $Q$ is supplied to it....
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Q JEE MAIN 2021
A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second...
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Q JEE MAIN 2021
The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $...
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Q JEE MAIN 2021
In an electrical circuit, a battery is connected to pass 20 C of charge through it in a certain given...
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Q JEE MAIN 2021
In thermodynamics, heat and work are :
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Q JEE MAIN 2022
The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen...
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Q JEE MAIN 2021
The temperature $\theta$ at the junction of two insulating sheets, having thermal resistances $\mathrm{R}_1$ and $\mathrm{R}_2$ as well as top...
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Q JEE MAIN 2021
Each side of a box made of metal sheet in cubic shape is ' $a$ ' at room temperature '...
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Q JEE MAIN 2021
If two similar springs each of spring constant $\mathrm{K}_1$ are joined in series, the new spring constant and time period...
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Q JEE MAIN 2021
Match List-I with List-II :
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Q JEE MAIN 2021
The potential energy $(\mathrm{U})$ of a diatomic molecule is a function dependent on r (interatomic distance) as $\mathrm{U}=\frac{\alpha}{\mathrm{r}^{10}}-\frac{\beta}{\mathrm{r}^5}-3$ where, $\alpha$...
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Q JEE MAIN 2021
n mole a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.
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Q JEE MAIN 2021
In a certain thermodynamical process, the pressure of a gas depends on its volume as $\mathrm{kV}^3$. The work done when...
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Q JEE MAIN 2021
The root mean square speed of molecules of a given mass of a gas at $27^{\circ} \mathrm{C}$ and 1 atmosphere...
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Q JEE MAIN 2021
Given below are two statements : Statement I : In a diatomic molecule, the rotational energy at a given temperature...
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Q JEE MAIN 2021
A diatomic gas, having $C_p=\frac{7}{2} R$ and $C_v=\frac{5}{2} R$ is heated at constant pressure. The ratio dU : dQ :...
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Q JEE MAIN 2021
If one mole of an ideal gas at $\left(P_1, V_1\right)$ is allowed to expand reversibly and isothermally (A to B)...
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Q JEE MAIN 2021
On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
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Q JEE MAIN 2022
What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and...
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Q JEE MAIN 2022
A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40...
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Q JEE MAIN 2022
The root mean square speed of smoke particles of mass $5 \times 10^{-17}$ kg their Brownian motion in air at...
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Q JEE MAIN 2022
A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown...
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Q JEE MAIN 2022
Let $\eta_1$ is the efficiency of an engine at $T_1=447^{\circ} \mathrm{C}$ and $T_2=147^{\circ} \mathrm{C}$ while $\eta_2$ is the efficiency at...
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Q JEE MAIN 2022
Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas...
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Q JEE MAIN 2022
One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of...
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Q JEE MAIN 2022
The pressure $\mathrm{P}_1$ and density $\mathrm{d}_1$ of diatomic gas $\left(\gamma=\frac{7}{5}\right)$ changes suddenly to $\mathrm{P}_2\left(>\mathrm{P}_1\right)$ and $\mathrm{d}_2$ respectively during an adiabatic...
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Q JEE MAIN 2022
At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of...
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Which statements are correct about degrees of freedom? A. A molecule with n degrees of freedom has $\mathrm{n}^2$ different ways...
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Q JEE MAIN 2022
In $1^{\text {st }}$ case, Carnot engine operates between temperatures 300 K and 100 K. In $2^{\text {nd }}$ case,...
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Q JEE MAIN 2022
A vessel contains 14 g of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be...
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Q JEE MAIN 2022
A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific...
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Q JEE Main 2022
Given below are two statements : Statement I : The average momentum of a molecule in a sample of an...
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Q JEE Main 2022
A Carnot engine has efficiency of 50%. If the temperature of sink is reduced by 40ºC, its efficiency increases by...
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Q JEE MAIN 2022
A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The...
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Q JEE MAIN 2022
7 mole of certain monoatomic ideal gas undergoes a temperature increase of 40K at constant pressure. The increase in the...
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Q JEE MAIN 2022
Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the...
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Q JEE MAIN 2022
Following statements are given : (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced....
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A certain amount of gas of volume V at $27^{\circ} \mathrm{C}$ temperature and pressure $2 \times 10^7 \mathrm{Nm}^{-2}$ expands isothermally...
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Q JEE MAIN 2022
A diatomic gas $(\gamma=1.4)$ does 400 J of work when it is expanded isobarically. The heat given to the gas...
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Q JEE MAIN 2022
A vessel contains 16g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the...
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When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increase by...
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Q JEE MAIN 2022
According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0ºC B. The mean free...
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For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows:
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A monoatomic gas performs a work of $\frac{Q}{4}$ where $Q$ is the heat supplied to it. The molar heat capacity...
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A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept...
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The ratio of specific heats $\left(\frac{C_p}{C_v}\right)$ in terms of degree of freedom (f) is given by:
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Q JEE MAIN 2022
A Carnot engine take 5000 kcal of heat from a reservoir at $727^{\circ} \mathrm{C}$ and gives heat to a sink...
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Q JEE MAIN 2022
A mixture of hydrogen and oxygen has volume 2000 $\mathrm{cm}^3$, temperature 300 K, pressure 100 kPa and mass 0.76 g...
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Q JEE-MAIN 2022
In Vander Waals equation $\left[P+\frac{a}{V^2}\right][V-b]=R T ; P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$...
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Q JEE MAIN 2022
The total internal energy of two mole monoatomic ideal gas at temperature $\mathrm{T}=300 \mathrm{~K}$ will be J . (Given $...
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Q JEE MAIN 2022
0.056 kg of Nitrogen is enclosed in a vessel at a temperature of $127^{\circ} \mathrm{C}$. The amount of heat required...
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Q JEE MAIN 2022
Given below are two statement: Statement -I : What $\mu$ amount of an ideal gas undergoes adiabatic change from state...
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Q JEE MAIN 2023
The relation between root mean square speed $\left(v_{\mathrm{rms}}\right)$ and most probable speed $\left(v_p\right)$ for the molar mass $M$ of oxygen...
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Q JEE-Main_2024
N moles of a polyatomic gas (f=6) must be mixed with two moles of a monoatomic gas so that the...
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Q JEE MAIN 2024
If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root...
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Q JEE MAIN 2024
A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational...
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Q JEE-Main_2024
The temperature of a gas having $2.0 \times 10^{25}$ molecules per cubic meter at 1.38 atm (Given, $...
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Q JEE MAIN 2024
The speed of sound in oxygen at S.T.P. will be approximately: (Given, $\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1}, \gamma=1.4$ )
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Q JEE MAIN 2024
If three moles of monoatomic gas $\left(\gamma=\frac{5}{3}\right)$ is mixed with two moles of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$, the value of...
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Q JEE MAIN 2024
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute...
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Q JEE MAIN 2024
Choose the correct statement for processes A & B shown in figure.
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Q JEE MAIN 2024
The total kinetic energy of 1 mole of oxygen at $27^{\circ} \mathrm{C}$ is: [Use universal gas constant $(\mathrm{R})=8.31 \mathrm{~J} /$...
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Q JEE MAIN 2024
The equation of state of a real gas is given by $\left(P+\frac{a}{V^2}\right)(V-b)=R T$, where $P, V$ and $T$ are pressure....
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Q JEE MAIN 2023
The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at...
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Given below are two statements : Statements 1 : The temperature of a gas is $-73^{\circ} \mathrm{C}$. When the gas...
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Q JEE MAIN 2025
A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $...
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Q JEE MAIN 2025
The helium and argon are put in the flask at the same room temperature (300K). The ratio of average kinetic...
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There are two vessels filled with an ideal gas where volume of one is double the volume of other. The...
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Pressure of an ideal gas, contained in a closed vessel, is increased by $0.4 \%$ when heated by $1^{\circ} \mathrm{C}$....
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Q JEE MAIN 2025
Match List - I with List - II. Choose the correct answer from the options given below :
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An ideal gas exists in a state with pressure $P_0$, volume $V_0$. It is isothermally expanded to 4 times of...
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Q JEE MAIN 2023
The mean free path of molecules of a certain gas at STP is 1500d, where d is the diameter of...
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The initial pressure and volume of an ideal gas are $P_0$ and $V_0$. The final pressure of the gas when...
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The root mean square speed of molecules of nitrogen gas at $27^{\circ} \mathrm{C}$ is approximately: (Given mass of a nitrogen...
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Q JEE MAIN 2023
A gas is compressed adiabatically, which one of the following statement is NOT true.
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Q JEE MAIN 2023
The thermodynamic process, in which internal energy of the system remains constant is
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Work done by a Carnot engine operating between temperatures $127^{\circ} \mathrm{C}$ and $27^{\circ} \mathrm{C}$ is 2 kJ . The amount...
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Q JEE MAIN 2023
A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational...
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The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $27^{\circ} \mathrm{C}$ is
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Q JEE MAIN_2023
Match List I with List II Choose the correct answer from the options given below
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1 g of a liquid is converted to vapour at $3 \times 10^5 \mathrm{~Pa}$ pressure. If $10 \%$ of the...
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Q JEE MAIN 2023
Which of the following relations are correct? Choose the most appropriate answer from the options given below :
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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....
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For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume,...
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In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature;...
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Q JEE MAIN 2023
Heat energy of 735 J is given to a diatomic gas allowing the gas to expand at constant pressure. Each...
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Q JEE MAIN 2023
A flask contains hydrogen and oxygen in the ratio of 2 : 1 by mass at temperature 27°C. The ratio...
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A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in...
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Q JEE MAIN_23
At 300 K, the rms speed of oxygen molecules is $\sqrt{\frac{\alpha+5}{\alpha}}$ times to that of its average speed in the...
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According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the...
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Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of...
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The rms speed of oxygen molecule in a vessel at particular temperature is $\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$, where u is the average...
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Q JEE MAIN 2023
A thermodynamic system is taken through cyclic process. The total work done in the process is :
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Q JEE MAIN 2023
An engine operating between the boiling and freezing points of water will have 1. efficiency more than 27%
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Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The...
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Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the...
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Q JEE MAIN 2023
Match List I with List II:
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An air bubble of volume $1 \mathrm{~cm}^3$ rises from the bottom of a lake 40 m deep to the surface...
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Q JEE MAIN 2023
If the $\mathrm{r} . \mathrm{m}$ s speed of chlorine molecule is $490 \mathrm{~m} / \mathrm{s}$ at $27^{\circ} \mathrm{C}$, the rass...
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1 kg of water at 100°C is converted into steam at 100°C by boiling at atmospheric pressure. The volume of...
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Q JEE MAIN 2023
(A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is 30°C. The...
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Q JEE MAIN 2023
Given below are two statements: [JEE-Main 08-4-2023_(M)_KTG_M] M0derate Statement-I: If heat is added to a system, its temperature must increase....
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Q JEE MAIN 2023
A source supplies heat to a system at the rate of 1000 W. If the system performs work at a...
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Q JEE MAIN 2023
The number of air molecules per $\mathrm{cm}^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision...
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Q JEE MAIN 2023
A body cools from 60ºC to 40ºC in 6 minutes. If, temperature of surroundings is 10ºC. Then, after the next...
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Q JEE MAIN 2023
Match Column-I with Column-II: Choose the correct answer from the options given below:
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Q JEE MAIN_2023
$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ represents the equation of state of some gases. Where P is the pressure, V is the volume, T...
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Q JEE MAIN_2023
A sample of gas at temperature T is adiabatically expanded to double its volume. The work done by the gas...
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Q JEE MAIN 2023
A thin rod having a length of 1 m and area of cross-section $3 \times 10^{-6} \mathrm{~m}^2$ is suspended vertically...
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Q JEE MAIN 2023
A bicycle tyre is filled with air having pressure of 270 kPa at 27ºC. The approximate pressure of the air...
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Q JEE MAIN 2023
The correct relation between $\mu=\frac{C_p}{C_v}$ and temperature $T$ is :
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Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion...
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Q JEE MAINS 2024
The root mean square velocity of molecules of gas is (1) Proportional to square of temperature $\left(\mathrm{T}^2\right)$. (2) Inversely proportional...
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Q JEEE MIANS 2024
A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency...
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Q JEE MAIINS 2024
The given figure represents two isobaric processes for the same mass of an ideal gas, then
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The pressure and volume of an ideal gas are related as (Constant). The work done when the gas is taken...
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Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between...
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A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen...
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The specific heat at constant pressure of a real gas obeying $\mathrm{PV}^2=\mathrm{RT}$ equation is :
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A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room...
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Q JEE MAIN 2024
The heat absorbed by a system in going through the given cyclic process is :
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P-T diagram of an ideal gas having three different densities $\rho_1, \rho_2, \rho_3$ (in three different cases) is shown in...
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Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the...
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Q JEE-Main_2024
At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^{\circ}$ C...
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Two thermodynamical process are shown in the figure. The molar heat capacity for process A and B are $C_A$ and...
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Q JEE MAINS 2024
The parameter that remains the same for molecules of all gases at a given temperature is :
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Two vessels A and B are of the same size and are at same temperature. A contains 1 g of...
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A thermodynamic system is taken from an original state A to an intermediate state B by a linear process as...
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Q JEE MAIN 2025
The internal energy of air in $4 m \times 4 m \times 3 m$ sized room at 1 atmospheric pressure...
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Q JEE MAIN 2025
Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in...
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Q JEE MAIN 2024
The average kinetic energy of a monatomic molecule is 0.414eV at temperature : (Use $K_B=1.38×10^{-23}J/mol-K$)
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Q JEE MAIN 2024
0.08 kg air is heated at constant volume through $5^∘$ C. The specific heat of air at constant volume is...
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A poly-atomic molecule ( $C_{V}=3 R, C_{P}=4 R$, where $R$ is gas constant) goes from phase space point $...
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Q JEE MAIN 2025
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...
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Q JEE MAIN 2025
The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $...
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Q JEE MAIN 2025
The kinetic energy of translation of the molecules in 50 g of $\mathrm{CO}_{2}$ gas at $17^{\circ} \mathrm{C}$ is
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The ratio of vapour densities of two gases at the same temperature is $\frac{4}{25}$, then the ratio of r.m.s. velocities...
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A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of...
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A piston of mass M is hung from a massless spring whose restoring force law goes as $...
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During the melting of a slab of ice at 273 K at atmospheric pressure:
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The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in...
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Q JEE MAIN 2025
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...
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Q JEE MAIN 2025
An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in...
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Q JEE MAIN 2025
Match the LIST-I with LIST-I
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${\gamma_A}$ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. ${\gamma_B}$ is the specific...
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Q JEE MAIN 2025
In an adiabatic process, which of the following statements is true?
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A container of fixed volume contains a gas at ${27^\circ}{\rm{C}}$ . To double the pressure of the gas, the temperature...
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Q JEE MAIN 2025
The workdone in an adiabatic change in an ideal gas depends upon only :
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A Carnot engine (E) is working between two temperatures 473 K and 273 K. In a new system two engines...
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For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas...
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The temperature of 1 mole of an ideal monoatomic gas is increased by ${50^0{C}}$ at constant pressure. The total heat...
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An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly...
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An ideal gas initially at ${{0}^{{}^\circ }}\text{C}$ temperature, is compressed suddenly to one fourth c the ratio of specific heat...
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Water of mass m gram is slowly heated to increase the temperature from $\mathrm{T}_{1}$ to $\mathrm{T}_{2}$. The change in entropy...
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Q JEE MAIN 2025
Given are statements for certain thermodynamic variables, (A) Internal energy, volume (V) and mass (M) are extensive variables. (B) Pressure...
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Q JEE MAIN 2025
For a diatomic gas, if $\gamma_1=\left(\frac{C p}{C v}\right)$ for rigid molecules and $\gamma_2=\left(\frac{C p}{C v}\right)$ for another diatomic molecules, but...
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