This document discusses partial differential equations in thermodynamics. It presents equations for partial derivatives of state variables like pressure, volume, and temperature with respect to other variables. These equations can be applied to ideal gas systems undergoing processes like isothermal compression, where the compressibility of an ideal gas is defined based on the partial derivative of volume with respect to pressure at constant temperature.

1. Thermodynamic
Partial differential equation in
thermodynamic

2. • Jeri Hartanto (A1C410235)
• M.Derry Riwal Abdi (A1C410210)

3. Partial differential
Replace dx in first equation

4. We can arrange
For and
or

5. For and
or
We can replace

6. We can arrange
So we can get the equation

7. We can applied to P-V-T system
So

8. Aplication example for ideal gas

9. Volume expansion can be define
In gas ideal

10. Isothermic compressibility can be define
In Gas ideal

11. Thank you for attention