Q.

An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to the gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant.

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a

Q = 2RT

b

Q = RT

c

Q = 3RT

d

Q = 4RT

answer is B.

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Detailed Solution

Q=ΔU=Uf−Ui= ( internal energy of 4 moles of a monoatomic gas + internal energy of the 2 moles of diatomic gas) – ( internal energy of 4 moles of diatomic ideal gas) =  (4×3RT2+2×52RT)−(4×52RT)=RT
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An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to the gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant.