For the first-order gaseous reaction: A(g) → 2B(g) (K1), A(g) → C(g) (K2), the initial pressure in a container of fixed volume, V litre, is 1 atm. Pressure of the system is 1.4 atm at t = 10 min and t

Question

For the first-order gaseous reaction: A(g) → 2B(g) (K1), A(g) → C(g) (K2), the initial pressure in a container of fixed volume, V litre, is 1 atm. Pressure of the system is 1.4 atm at t = 10 min and the pressure is 1.5 atm after a very long time. The only correct information about the reactions is

Prashant Kotian · Accepted Answer

Correct answer: B. Average stoichiometric product yield y = (2K1 + K2)/(K1 + K2). P_inf = y P0 = 1.5, so 2K1 + K2 = 1.5(K1 + K2) => 0.5K1 = 0.5K2 => K1 = K2. Total K = K1 + K2. P_t = P0[y - (y-1)e^-Kt]. 1.4 = 1.5 - 0.5 e^-10K => 0.5 e^-10K = 0.1 => e^10K = 5 => 10K = 1.6 => K = 0.16. So K1 = K2 = 0.08 min^-1. Therefore, correct answer is B.

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