A monoatomic gas is supplied heat Q very slow | vedclass

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(C) For a monoatomic gas,the molar heat capacity at constant pressure is $C_p = \frac{5}{2} R$ and at constant volume is $C_v = \frac{3}{2} R$.The hea

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$\frac{2}{5} Q$

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(C) For a monoatomic gas,the molar heat capacity at constant pressure is $C_p = \frac{5}{2} R$ and at constant volume is $C_v = \frac{3}{2} R$.The heat supplied at constant pressure is given by $dQ = n C_p dT = n \left( \frac{5}{2} R \right) dT$.The work done by the gas at constant pressure is $dW = P dV = n R dT$.Dividing the work done by the heat supplied,we get:$\frac{dW}{dQ} = \frac{n R dT}{n (\frac{5}{2} R) dT} = \frac{1}{5/2} = \frac{2}{5}$.Therefore,the work done by the gas is $dW = \frac{2}{5} Q$.

Column-$I$	Column-$II$
$(a)$ Horizontal line parallel to $V$-axis	$(i)$ Adiabatic process
$(b)$ Vertical line parallel to $P$-axis	$(ii)$ Isobaric process
	$(iii)$ Isochoric process

$A$ monoatomic gas is supplied heat $Q$ very slowly keeping the pressure constant. The work done by the gas will be

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