Explain why the temperature of a gas dro...

Explain why the temperature of a gas drops in an adiabatic expansion, on basis of the kinetic theory of gases,

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In an adiabatic expansion, a gas does work at the cost of its kinetic energy and so its random motion is reduced. According to the kinetic theory the temperature of a gas is associated with its random motion. This is why the temperature of a gas drops in an adiabatic expansion.

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In adiabatic expansion of a gas

Its pressure increases

Its density increases

Its thermal energy increases

Its thermal energy increase

According to the kinetic theory of gases,

the pressure exerted by a gas is proportional to mean square velocity of the molecules

the pressure exerted by the gas is proportional to the root mean square velocity of the molecules

the root mean square velocity is inversely proportional to the temperature

the mean translational K.E. of the molecule is directly proportional to the absolute temperature

According to kinetic theory of gases,

The velocity of molecules decreases for each collision

The pressure exerted by a diatomic gas is proportional to the mean velocity of the molecule.

The K.E of the gas decreases on expansion at constant temperature.

The mean translational K.E of diatomic gas increases with increses with increases in absolute temperature.