Question

For which of the following ideal gas ${C_{v,m}}$ is independent of temperature?
A) $He$
B) ${H_2}$
C) $CO$
D) $S{O_2}$

Answer 1

For monoatomic gas, ${C_{v,m}}$ is independent of temperature. Monatomic gas is the gas having only one atom.

Complete step by step solution:
${C_{v,m}} \Rightarrow$Molar heat capacity at constant volume and mass, means the required heat to increase the temperature of 1 mole of gas by 1 kelvin.
The heat capacity of substances increases with temperature but for monoatomic gases, it does not depend upon temperature.
Here, in the above options only one monatomic gas is present which is Helium gas.

So, the option $(A)$ is the correct answer.

Note: Ideal monatomic gases have only translational degrees of freedom. So for monoatomic gases, ${C_{v,m}}$ is independent of temperature, for eg.- $He,Ar$.