JEE MAIN - Physics (2022 - 24th June Evening Shift - No. 25)
A monoatomic gas performs a work of $${Q \over {4}}$$ where Q is the heat supplied to it. The molar heat capacity of the gas will be ______________ R during this transformation. Where R is the gas constant.
Answer
2
Explanation
By 1st law,
$$\Delta U = \Delta Q - {{\Delta Q} \over 4} = {3 \over 4}\Delta Q$$
$$ \Rightarrow n{C_v}\Delta T = {3 \over 4}nC\Delta T$$
$$ \Rightarrow C = {{4{C_v}} \over 3} = 2R$$
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