Adiabatic compression is a process in which a gas is compressed without any heat exchange with its surroundings. The internal energy of the gas increases, resulting in an increase in temperature.
Isothermal Process: A thermodynamic process in which the temperature remains constant while heat can be exchanged with surroundings.
$\gamma$ (Adiabatic Index): The ratio of specific heats at constant pressure ($C_p$) and constant volume ($C_v$), typically greater than one for gases.
$PV^{\gamma} = \text{constant}$: Poisson's equation describing the relationship between pressure and volume during an adiabatic process for an ideal gas.