Competishun Header

Report Issue

JEE MAIN 2022
29-06-2022 S2
Question
A box contains 0.90 g of liquid water in equilibrium with water yapour at $27^{\circ} \mathrm{C}$. The equilibrium vapour pressure of water at $27^{\circ} \mathrm{C} 32.0$ Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be $\_\_\_\_$ litre [nearest integer] (Given: $\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ ) (Ignore the volume of the liquid water and assume water yapours behave as an ideal gas.)
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$V=\frac{n R T}{P}=\frac{0.90 \times 0.82 \times 300 \times 760}{18 \times 32}=29.21$
Question Tags
JEE Main
Chemistry
Easy
Start Preparing for JEE with Competishun
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Main 20242024
Let $y=y(x)$ be the solution of the differential equation $\left(x^2+4\right)^2 d y+\left(2 x^3 y+8 x y-2\right) d x=0$. If $y(0)=$...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Given the inverse trigonometric function assumes principal values only. Let $x, y$ be any two real numbers in $[-1,1]$ such...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let P Q be a chord of the parabola $y^2=12 x$ and the midpoint of PQ be at $(4,1)$. Then,...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Consider a hyperbola $H$ having centre at the origin and foci and the $x$-axis. Let $C_1$ be the circle touching...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
If the coefficients of $x^4, x^5$ and $x^6$ in the expansion of $(1+x)^n$ are in the arithmetic progression, then the...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let f(x) = 3 $ \sqrt{\mathrm{x}-2}+\sqrt{4-\mathrm{x}}$ be a real valued function. If $\alpha$ and $\beta$ are respectively the minimum and...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
If the value of the integral $\int_{-1}^1 \frac{\cos \alpha x}{1+3^x} d x$ is $\frac{2}{\pi}$. Then, a value of $\alpha$ is
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
The area (in sq. units) of the region $S=\{z \in \mathbb{C} ;|z-1| \leq 2 ;(z+\bar{z})+i(z-\bar{z}) \leq 2, \operatorname{lm}(z) \geq 0\}$...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
The area (in sq. units) of the region described by $\left\{(x, y): y^2 \leq 2 x\right.$, and $...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let $f(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}$. Then $\lim _{x \rightarrow 0} \frac{f(x)}{x^3}$ is equal to
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
The value of $\frac{1 \times 2^2+2 \times 3^2+\cdots+100 \times(101)^2}{1^2 \times 2+2^2 \times 3+\cdots+100^2 \times 101}$ is
JEE MainMathematicsEasy
View Solution
QJEE MAIN 20242024
Let ABC be an isosceles triangle in which A is at $(-1,0), \angle A=\frac{2 \pi}{3}, A B=A C$ and $B$...
JEE MainMathematicsEasy
View Solution
QJEE MAIN 20242024
If $\frac{d x}{d y}=\frac{1+x-y^2}{y}, x(1)=1$, then $5 x(2)$ is equal to :
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let $A=\left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right]$ and $B=I+\operatorname{adj}(A)+(\operatorname{adj} A)^2+\cdots+(\operatorname{adj} A)^{10}$. Then, the sum of all the elements of...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let three real numbers 𝑎, 𝑏, 𝑐 be in arithmetic progression and a +1, b, c +3 be in geometric...
JEE MainMathematicsEasy
View Solution
QJEE MAIN 20242024
The sum of squares of all possible values of $k$, for which area of the region bounded by the parabolas...
JEE MainMathematicsEasy
View Solution
QJEE Main 20242024
Let a relation R on N x N be defined as : $\left(x_1, y_1\right) R\left(x_2, y_2\right)$ if and only if...
JEE MainMathematicsEasy
View Solution
QJEE MAIN 20242024
Three points $\mathrm{O}(0,0), \mathrm{P}\left(\mathrm{a}, \mathrm{a}^2\right), \mathrm{Q}\left(-\mathrm{b}, \mathrm{b}^2\right), \mathrm{a}>0, \mathrm{~b}>0$, are on the parabola $y=x^2$. Let $S_1$ be the area of...
JEE MainMathematicsEasy
View Solution
Check this project | Best Developer Portfolio