Given: A + B $\rightarrow$ P rate = k[A][B] Which of the following is true?

Question

Quizplus · Accepted Answer

The given rate law is a simple second-order rate law, rate = k[A][B]. The problem can be solved by using integrated rate laws. The best answer choice is C, which represents the integrated rate law for a second-order reaction, [A]t = [A]0/(1 + kt[A]0), where [A]t is the concentration of A at time t, [A]0 is the initial concentration of A, k is the rate constant, and t is the reaction time. This equation can be rearranged to give [A]0/[A]t = 1 + kt[A]0, which matches the form of answer choice C. Answer choice A represents the half-life equation for a first-order reaction, not a second-order reaction. Answer choice B represents the logarithmic form of the second-order integrated rate law, but is not as convenient to use as answer choice C. Answer choice D is incorrect, as it represents the inverse of the first-order rate constant, not the second-order rate constant.

Given: a + B →\rightarrow→ P Rate = K[A][B] Which of the Following Is True

Given: a + B $\rightarrow$ P Rate = K[A][B] Which of the Following Is True