A 15 g mass of nitrogen gas is enclosed in a vessel… | Kinetic Theory of Gases

JEE MAIN 2019

9-1-19 S2

Question

A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature $27^{\circ} \mathrm{C}$. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about: [Take $\mathrm{R}=83 \mathrm{~J} / \mathrm{K}$ mole]

Select the correct option:

3 kJ

14 kJ

10 kJ

0.9 kJ

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \frac{V_1}{V_2}=\sqrt{\frac{T_1}{T_2}} \\ & T_2=1200 \mathrm{~K} \\ & Q=n C_V\left(T_2-T_1\right) \\ & =\frac{15}{28} \times 5 \times \frac{R}{2} \times 900=10\end{aligned}$

Question Tags

JEE Main

Physics

Medium

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