The rate of formation of a dimer in a second order dimerization reaction is `9.5 xx 10^(-5) mol L^(-1) s^(-1)` at `0.01 mol L^(-1)` monomer concentration. Calculate the rate constant.

Explanation

`2A rarr A_(2)`
`(-d[A])/(2 dt) = (d[A_(2)])/(dt)`
`(-d[A])/(dt) = (2d[A_(2)])/(dt)`
`= 2 xx 9.5 xx 10^(-5) mol L^(-1) s^(-1)`
`= 1.90 xx 10^(-4) mol L^(-1) s^(-1)`
Rate `= k[A]^(2)`
`= 1.9 xx 10^(-4) = k[0.01]^(2)`
`k = 1.9 L mol^(-1) s^(-1)`