In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation $VT = K$, where $I$ is a constant. In this process the temperature of the gas is increased by $\Delta T$. The amount of heat absorbed by gas is ($R$ is gas constant)
JEE MAIN 2019, Diffcult
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${\mathrm{VT}=\mathrm{K}} $
${\Rightarrow \quad \mathrm{V}\left(\frac{\mathrm{PV}}{\mathrm{nR}}\right)=\mathrm{k}} $
${\Rightarrow \quad \mathrm{PV}^{2}=\mathrm{K}} $
${\because \quad \mathrm{C}=\frac{\mathrm{R}}{1-\mathrm{x}}+\mathrm{C}_{\mathrm{v}} \text { (For polytropic process) }} $
${\mathrm{C}=\frac{\mathrm{R}}{1-2}+\frac{3 \mathrm{R}}{2}=\frac{\mathrm{R}}{2}} $
${\therefore \quad \Delta \mathrm{Q}=\mathrm{nC} \Delta \mathrm{T}}$
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