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A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature ‘T’. Neglecting all vibrational mode, the total internal energy of the system is

a
4RT
b
15RT
c
9RT
d
11RT

detailed solution

Correct option is D

Total Internal Energy of System =Uoxygen+Uargon=μf12RT+μ2f22RT(f= degree of fredom )=252RT+432RT=5RT+6RT=11RTAs f1=5for oxygen and f2=3for ArgonTherefore, the correct answer is (D).

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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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