Q. A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature $27^{\circ}C$. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about :
[Take R = 8.3 J/ K mole]

Solution:

$Q = nC_v \Delta T$ as gas in closed vessel
$Q = \frac{15}{28} \times\frac{5 \times R}{2} \times\left(4T -T\right) $
$ Q = 10000 J = 10 kJ$

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