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An insulating cylinder contains 4 moles of an ideal diatomic gas. When a heat Q is supplied to it, 2 moles of the gas molecules dissociate. If the temperature of the gas remains constant, then the value of Q is
( R - universal gas constant)

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4RT

3RT

2RT

answer is B.

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Detailed Solution

$Q = Δ U = U_{f} - U_{i}$

Q = [internal energy of moles of 4 monoatomic gas + internal energy of 2 moles of a diatomic gas] - [internal energy of 4 moles of a diatomic gas]

$\begin{array}{l} = (4 \times \frac{3}{2} R T + 2 \times \frac{5}{2} R T) - (4 \times \frac{5}{2} R T) \\ = (6 R T + 5 R T) - 10 R T = R T \end{array}$

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