The rate constant for an isomerization reaction, `A rarr B` is `4.5 xx 10^(-3) min^(-1)`. If the initial concentration of `A` is `1 M`, calculate the rate of the reaction after `1 h`.

Answer

Rate `= 3.435 xx 10^(-3) mol L^(-1) s^(-1)`

Explanation

For a first order reaction,
`k = (2.303)/(t) log.(a)/(a-x) = (2.303)/(t)log.(A_(0))/(A)`
or `4.5 xx 10^(-3) = (2.303)/(60) log.(1)/(A)`
or `A = 0.7633 M`
Rate `- k[A] = 4.5 xx 10^(-3) xx 0.7633`
Rate `= 3.435 xx 10^(-3) mol L^(-1) s^(-1)`