Question 543: Thermodynamics & KTG

Question

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.

Accepted Answer

By 1
st
law,
$$\Delta U = \Delta Q - {{\Delta Q} \over 4} = {3 \over 4}\Delta Q$$
$$ \Rightarrow n{C_v}\Delta T = {3 \over 4}nC\Delta T$$
$$ \Rightarrow C = {{4{C_v}} \over 3} = 2R$$

Thermodynamics & KTG

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.

Integer / Numeric Answer Type