what happens during adiabatic enpansion of a gas and how does it affect the temperature of the container? what hapens to the pressure and internal energy ?

Dear student,

For a perfect (ideal) gas, C_p = C_V + R , where C_p and C_V are the molar heat capacities at constant pressure and volume, respectively. For an arbitrary real gas a slightly more complicated relationship between these heat capacities may be derived from the equation of state. Essentially, however, the difference between heating a gas at constant volume and constant pressure is expansion work. Thus, the ratio C_p / C_V is related to the capacity of the system to do work upon expansion. This ratio is usually given the symbol [lower case greek gamma].

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