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  4. A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat (in joule) needed to raise the temperature of the gas by 20°C is: [Given that R = 8.31 J mol-1 K -1]

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Q. A cylinder with fixed capacity of $67.2$ lit contains helium gas at STP. The amount of heat (in joule) needed to raise the temperature of the gas by $20^{\circ}C$ is :
[Given that $R = 8.31 \,J \,mol^{-1} K ^{-1}]$

Thermal Properties of Matter

Solution:

As the process is isochoric so,
$Q = nc_v \Delta T = \frac{67.2}{22.4} \times \frac{3R}{2} \times 20$
$ = 90R = 90 \times 8.31 \simeq 748\,j$