Question

Why is $C_p$ higher than $C_v$?

Answer 1

$C_{\mathit{p}}$ is higher than $C_v$ because:

• When a gas is heated at a constant volume, the work performed on it increases the system's internal energy.
• When a gas is heated under constant pressure, work is done to overcome the pressure, and the volume expands, resulting in a rise in the system's internal energy.
• As a result, $C_p$ might be stated to be bigger than $C_v$.
• Where $C_p$ Molar heat capacity at constant pressure, and $C_v$ molar heat capacity at constant volume.

Relationship between $C_{\mathit{p}}$ and $C_v$:

• The relationship between $C_{\mathit{p}}$ and $C_v$ are as follows:
• $C_{\mathit{P}}\mathit{-}{C}_{\mathit{V}}=\mathrm{R}$, where R is the gas constant.