What statement below best describes the graph representing the integrated first-order rate law? A) A plot of [A]_t vs. t yields a straight line with a negative slope equal to -k. B) A plot of 1/[A]_t vs. t yields a straight line with a negative slope equal to k. C) A plot of ln[A]_t vs. t yields a straight line with a positive slope equal to -k. D) A plot of ln[A]_t vs. t yields a straight line with a negative slope equal to -k. E) A plot of 1/[A]_t vs. t yields a straight line with a positive slope equal to k.

Question

Quizplus · Accepted Answer

The integrated first-order rate law is given by ln[A]t = -kt + ln[A]0. Taking the natural logarithm of both sides of the equation would yield ln[A]t on the y-axis and t on the x-axis, resulting in a straight line. The slope of this line would be -k and the y-intercept would be ln[A]0. Therefore, the correct statement is that a plot of ln[A]t/[A]0 vs. t yields a straight line with a negative slope equal to -k. Option D correctly represents this statement.

What Statement Below Best Describes the Graph Representing the Integrated