The adiabatic form of this quantity is given by its isothermal form times the ratio of the heat capacity at constant pressure to heat capacity at constant volume, and for an ideal gas
The adiabatic form of this quantity is given by its isothermal form times the ratio of the heat capacity at constant pressure to heat capacity at constant volume, and for an ideal gas it is given by the pressure times the first Gruneisen constant. The thermal form is inversely proportional to the thermal expansion coefficient, and the square root of this quantity divided by the density yields the speed of sound in that material. Defined as minus the volume times the derivative of pressure with respect to volume, FTP, identify this quantity which gives the change in volume of a solid as the pressure on it changes.
The adiabatic form of this quantity is given by its isothermal form times the ratio of the heat capacity at constant pressure to heat capacity at constant volume, and for an ideal gas
bulk modulus