A first-order reaction: A(g) → nB(g) is started with 'A'. The reaction takes place at constant temperature and pressure. If the initial pressure was P0 and the rate constant of reaction is 'K', then a

Question

A first-order reaction: A(g) → nB(g) is started with 'A'. The reaction takes place at constant temperature and pressure. If the initial pressure was P0 and the rate constant of reaction is 'K', then at any time, t, the total pressure of the reaction system will be

Prashant Kotian · Accepted Answer

Correct answer: A. Partial pressure of A at time t is P_A = P0 e^-Kt. Pressure of B formed is P_B = n(P0 - P_A) = n P0 (1 - e^-Kt). Total pressure P = P_A + P_B = P0 e^-Kt + n P0 - n P0 e^-Kt = P0[n + (1 - n)e^-Kt]. Therefore, correct answer is A.

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