# Ideal Gas Law and Specific Heat Capacities

## Ideal Gas Law

$$PV = mRT$$

Where

P is pressure (Pa)

V is volume ($$m^3$$)

m is mass (kg)

R is the gas constant (0.287 kJ/kgK for air)

T is temperature (K)

## Specific Heat Capacity

$$C_p$$ for constant pressure processes

$$C_v$$ for constant volume processes

$$R = C_p - C_v$$

$$\gamma = \frac{C_p}{C_v}$$

where $$\gamma$$ is the isentropic index of expansion/compression.