a container is filled with 20 moles of an ideal diatomic gas at Absolute Temperature t when heat is supplied - Physics - Thermodynamics

Question

a container is filled with 20 moles of an ideal diatomic gas at
Absolute Temperature t when heat is supplied to gas temperature
remains constant but 8 mole dissociate into atom heat energy given
to gas is

Abhinaba · Answer

As gas is enclosed in a vessel, so during heating process, volume
of the gas remains constant It means no work is done by the gas and
heat supplied to the gas is used to increase its internal energy
only Initial internal energy of the gas= 1 = 1 ( 5/2 ) after
heating, vessel contains (1 − 2) moles of diatomic gas Hence
the internal energy for the gas, after heating= = 2 = (1 − 2
) ( 5 /2 ) + 22 ( 3 /2 ) = 5 /2 1 () + 1 /2 2 () 2 − 1 = 1 /2
2 () = 1 /2 ∙ 8() = 4RT

a container is filled with 20 moles of an ideal diatomic gas at Absolute Temperature t when heat is supplied to gas temperature remains constant but 8 mole dissociate into atom. heat energy given to gas is