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Q.

N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas?

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a

12nRT

b

0

c

32nRT

d

52nRT

answer is A.

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Detailed Solution

Energy associated with N moles of diatomic gas,  Ui=N52RTEnergy associated with n moles of diatomic gas converted into monoatomic (Uf)=2n32RT+(N−n)52RT=12nRT+52NRT Now, change in total kinetic energy of the gas ΔU=Q=12nRT
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