# 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.