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 (integer)
2
Solution
<p>By 1<sup>st</sup> law,</p>
<p>$\Delta U = \Delta Q - {{\Delta Q} \over 4} = {3 \over 4}\Delta Q$</p>
<p>$\Rightarrow n{C_v}\Delta T = {3 \over 4}nC\Delta T$</p>
<p>$\Rightarrow C = {{4{C_v}} \over 3} = 2R$</p>
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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