The rate expression for the reaction: A(g) + B(g) - C(g) is rate = K * C_A^2 * C_B^(1/2). What changes in the initial concentration of A and B will cause the rate of reaction increase by a factor of

Question

The rate expression for the reaction: A(g) + B(g) -> C(g) is rate = K * C_A^2 * C_B^(1/2). What changes in the initial concentration of A and B will cause the rate of reaction increase by a factor of eight?

Prashant Kotian · Accepted Answer

Correct answer: B. Let rate1 = K * (C_A)^2 * (C_B)^0.5. If C_A is doubled (2 C_A) and C_B is quadrupled (4 C_B), then rate2 = K * (2 C_A)^2 * (4 C_B)^0.5 = K * 4 C_A^2 * 2 C_B^0.5 = 8 * rate1. Thus, the rate increases by a factor of 8.

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