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232.


Problem 25.35 (RHK)


(a) A monatomic ideal gas initially at is suddenly compressed to one-tenth its original volume. We have to find the temperature after compression.

(b) We have to do the same calculation for a diatomic gas.


Solution:           Click For PDF Version

 We recall that the ratio of specific heats for monatomic and diatomic ideal gas is

, (monatomic gas)

and

. (diatomic gas).

In adiabatic process

(a)

Initial temperature of the gas is

We next calculate the temperature of the gas on adiabatic compression to one-tenth of its volume.

(a)

Temperature of the monatomic ideal gas after compression will be

(b)

Temperature of the diatomic ideal gas after the adiabatic compression will be