Given: A + B $\rightarrow$ P rate = k[A][B] Which of the following is true? A) k = ln 2/t_1/2 B) ln [A]_t = -kt + ln [A]_o C) [A]_t = [A]_o/(1 + kt[A]_o) D) 1/[A]_t = 1/kt

Question

Quizplus · Accepted Answer

The given rate law is a simple first-order reaction rate law. The integrated rate law for a first-order reaction is [A]t = [A]0 e^(-kt), 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 e is Euler's constant. Taking the natural logarithm on both sides of the equation, we get ln [A]t = ln [A]0 - kt. This equation can be rearranged to the form shown in choice C: [A]t = [A]0 / (1 + kt[A]0), which is the correct integrated rate law equation for a first-order reaction.

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