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Q.

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

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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 = ∆U = Uf-Ui = [[intemal energy of 4 moles of a monoatomic gas + internal energy of 2 moles of a diatomic gas] - [intemal energy of 4 moles of a diatomic gas]= (4×32RT+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 this gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant. Then