Question

In a real gas, the internal energy depends on temperature and also on volume. The energy increases when the gas expands isothermally. Examining the derivation of Cp − Cv = R, find whether Cp − Cv will be more than R, less than R or equal to R for a real gas.

Answer 1

$C_p$ and $C_v$ apply to the different thermal capacities Continuous volume and pressure.

Explanation:

Step 1:

The derived equation Ideal for gas within a real gas, Because internal energy is temperature and volume dependent

$\left(d Q_{p}=d Q_{v}+n R d T\right) \text { Will move to }\left(d Q_{p}=d Q_{v}+n R d T+k\right)$

Where k is a difference.

Step 2:

in (positive) internal energy due to volume changes just by  maintaining Continuous pressure So for a real gas ,  n=1 mole,

$\begin{array}{l}{C_{p}-C_{v}=R+k d T} \\{C p-C v>R}\end{array}$

Where $C_p$ and $C_v$ apply to the different thermal capacities Continuous volume and pressure.