The isomerization of cyclopropane to form propane is a first order reaction. At `760 K, 85%` of a sample of cyclopropane change to propane in `79 min`. Calculate the value of the rate constant.

Options

A. `2.42 min^(-1)`
B. `3.66 xx 10^(-2) min^(-1)`
C. `2.40 xx 10^(-3) min^(-1)`
D. `1.04 xx 10^(-2) min^(-1)`

Answer

C

Explanation

`K = 2.303/t log a/(a-x)`
`=2.303/79 log 100/(100-85)`
`K = 2.4 xx 10^(-2) min^(-1)`