Question

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`.
A. `0.763 M`
B. `1.763 M`
C. `2.763M`
D. `0.076M`

Answer 1

Correct Answer - 1
From the unit of rate constant, it follows that the given isomerization reaction is a first order reaction. The concentration of A after `1h` as determined from the expression.
`log.([A])/([A]_(0))=-(k)/(2.303)t`
`log.([A])/([A]_(0))=-(4.5xx10^(-3)mi n^(-1))/(2.303)(60 mi n)=-0.1172 mol L^(-1)" "[ As[A_(0)]=1M]`
`:. " "[A]=0.7634M`