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

JEE MainJEE Main 2019Thermodynamics

Solution:

$\Delta Q = nC_{V} \Delta T = n \frac{3}{2} R\Delta T $
$ = \left(\frac{67.2}{22.4}\right)\left(\frac{3}{2} \times8.31\right)\left(20\right) $
$\approx748\, J $