Calculating Cp and Cv of Real Gases for Solving Differential Equations

[MWRY]

Homework Statement

Hello there,

I was given a tasks to find Cp and Cv of nitrogen and carbon dioxide in real gas situation.

Homework Equations

From what i could find, the suitable equation would be:

Cv = Cv° - (2(∂B/∂T) + T(∂²B/∂T²)P

The Attempt at a Solution

The problem is I couldn't find a way to solve the

'(2(∂B/∂T) + T(∂²B/∂T²)P'

part of equation. Any guidance will be highly appreciated. Thanks.

 

[Saitama]

The problem is I couldn't find a way to solve the

'(2(∂B/∂T) + T(∂²B/∂T²)P'

part of equation. Any guidance will be highly appreciated. Thanks.

This is a differential equation of 2nd order. I myself don't know how to solve differential equation of 2nd order but you can use calculators to solve it.