Question
For a reaction A product, k = 2 10^ -2 \ s ^ -1 . If the initial concentration of A is 1.0\ mol dm ^ -3 find the value of 1 [A]_t after 100 second ?
For a reaction A product, k = 2 10^ -2 \ s ^ -1 . If the initial concentration of A is 1.0\ mol dm ^ -3 find the value of 1 [A]_t after 100 second ?
D. 0.868
The unit of rate constant k is s ^ -1 , indicating that the reaction is of first order. For a first-order reaction, the integrated rate equation is: k = 2.303 t [A]_0 [A]_t Substituting the given values k = 2 10^ -2 \ s ^ -1 , t = 100\ s , and [A]_0 = 1.0\ mol dm ^ -3 : 2 10^ -2 = 2.303 100 1.0 [A]_t 2 10^ -2 100 = 2.303 1 [A]_t 2 = 2.303 1 [A]_t 1 [A]_t = 2 2.303 = 0.868 Answer: 0.868
Related: Chemistry — Chemical Kinetics · All PYQ Banks