The ratio of molar specific heat at constant pressure , to molar specific heat at constant volume for a monoatomic gas is
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For a monoatomic gas, the average energy of a molecule at temperature is .
Internal energy
For an ideal gas, .
The ratio of the molar heat capacities of a diatomic gas at constant pressure to that a
constant volume is
For a diatomic gas,
and
Molar heat capacity at constant pressure,
Molar heat capacity at constant volume,
If and denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
According to Mayer's relationship
Here .
If a gas has ' ' degrees of freedom, the ratio of the specific heats of the gas is
diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be
diagram of the gas is a straight line passing through origin. Hence or constant Molar heat capacity in the process constant is Here (For diatomic gas)
The molar specific heat at constant pressure of an ideal gas is . The ratio of specific heat at constant pressure to that at constant volume is
1.58
1.82
1.28
1.44
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