Given that the rate constant for the decomposition of hypothetical compound X from part A is 1.60 M−1⋅min−1, calculate the concentration of X after 13.0min .

(min) [X](M)
0 0.467
1 0.267
2 0.187
3 0.144
4 0.117
5 0.099
6 0.085
7 0.075

Question

Given that the rate constant for the decomposition of hypothetical compound X from part A is 1.60 M−1⋅min−1, calculate the concentration of X after 13.0min .


(min)	[X](M)
0	0.467
1	0.267
2	0.187
3	0.144
4	0.117
5	0.099
6	0.085
7	0.075

aaronq · Answer

The equation is 2nd order, i realized that when i applied the 2nd-order integrated rate law, and confirmed that it adhered to it.

             $\dfrac{1}{[A]_t}=\dfrac{1}{[A_0]}+kt$          (2nd-order integrated rate law)

           $\dfrac{1}{0.267}=\dfrac{1}{0.467}+1.6t$

                     $t=1~min$

Use the same formula to find $[A]$ when $t=13~min$.