# Problem: The decomposition of XY is second order in XY and has a rate constant of 7.02×10−3 M-1 s-1 at a certain temperature. If the initial concentration of  XY is 0.050 M, what is the concentration of XY after 55.0 s?

###### FREE Expert Solution

We’re being asked to determine the concentration of XY after 55.0 s given an initial concentration of 0.050 M.

The integrated rate law for a second-order reaction is as follows:

$\overline{)\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{t}}}{\mathbf{=}}{\mathbf{kt}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}}}$

where:

[A]t = concentration at time t

k = rate constant

t = time

[A]0 = initial concentration

###### Problem Details

The decomposition of XY is second order in XY and has a rate constant of 7.02×10−3 M-1 s-1 at a certain temperature. If the initial concentration of  XY is 0.050 M, what is the concentration of XY after 55.0 s?