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Question

An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to this gas, due to which 2 moles of the gas

are dissociated into atoms but temperature of the gas remains constant. Then


A

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B

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C

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D

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Solution

The correct option is B


Q=U=UfUi = [internal energy of 4 moles of a monoatomic gas + internal

energy of 2 moles of a diatomic gas] - [internal energy of 4 moles of a diatomic gas]

=(4×32RT+2×52RT)(4×52RT)=RT

Note : (a) 2 moles of diatomic gas becomes 4 moles of a monoatomic gas when gas dissociated into atoms.

(b) Internal energy of m moles of an ideal gas of degrees of freedom F is given by U=f2μRT

F = 3 for a monoatomic gas and 5 for diatomic gas.


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