Use this chemistry calculator to reproduce a named relationship with explicit quantities and units for study, laboratory planning, or an independent numerical check.

Heat capacity Cp (J/(mol·K))

Required number input.

Heat capacity Cv (J/(mol·K))

Required number input.

Compute the adiabatic index gamma as the ratio of molar heat capacity at constant pressure to that at constant volume. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Heat capacity ratio gamma

The resulting heat capacity ratio gamma returned as a number.

• Thermodynamic quantities are state- and temperature-dependent and must use consistent reference states and sign conventions. Heat loss, phase changes, non-ideal mixing, path-dependent work, and heat-capacity variation may need separate treatment.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check units and significant figures, compare the result with limiting cases, and use measured or source-specific constants where available. Laboratory, safety, and regulatory decisions require validated methods and appropriate uncertainty analysis.

• CP Minus CV

  Report the Mayer relation for an ideal gas as the difference between molar heat capacities at constant pressure and constant volume.

• CV For Diatomic Ideal Gas

  Report the molar heat capacity at constant volume for a diatomic ideal gas as five halves of the gas constant.

• Molar Cv From Cp

  Compute the molar heat capacity at constant volume from Cp using the ideal gas relation Cv = Cp − R.