The following reactions are occurring simultaneously in a vessel such that the temperature of the system is not changing: A + 3B → P; ΔH = -2x kJ and M → 2Q + R; ΔH = +x kJ. If the rate of disappearan

Question

The following reactions are occurring simultaneously in a vessel such that the temperature of the system is not changing: A + 3B → P; ΔH = -2x kJ and M → 2Q + R; ΔH = +x kJ. If the rate of disappearance of 'B' is y M s^-1, the rate of appearance of 'Q' (in M s^-1) is

Prashant Kotian · Accepted Answer

Correct answer: B. Since temperature is constant, heat released = heat absorbed. Rate of rxn 1 = (y/3). Heat released = (y/3)*2x. Rate of rxn 2 = 1/2 d[Q]/dt. Heat absorbed = (1/2 d[Q]/dt)*x. Equating them: (2xy)/3 = (1/2 d[Q]/dt)*x => d[Q]/dt = 4y/3 = 1.33 y. Therefore, correct answer is B.

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