Thermodynamic Relations Summary

Thermodynamic Relations Summary

### First Law

$$Q=\Delta U+W$$

### Ideal Gas Equation

$$PV=nRT$$

### Internal Energy

$$U=\frac{f}{2}nRT$$

### Heat Capacity Relation

$$C_P-C_V=R$$

### Adiabatic Relation

$$PV^\gamma=constant$$

### Carnot Efficiency

$$\eta=1-\frac{T_C}{T_H}$$

### Entropy Change

$$\Delta S=\frac{Q_{rev}}{T}$$