Specific Heat affected by Pressure
At low pressures like 6 mb and even 1014 mg, the heat capacity is very insensitive to pressure (and the ideal gas value can be used).  At higher pressures, where non-ideal gas effects set in, the enthalpy and the heat capacity are, in general, both functions of pressure as well as temperature.  The partial derivative of enthalpy with respect to pressure at constant temperature for an arbitrary substance is given by:

$$\left(\frac{\partial H}{\partial P}\right)_T=\left[V-T\left(\frac{\partial V}{\partial T}\right)_P\right]$$
This is equal to zero for an ideal gas.