The initial concentration of `N_(2)O_(5)` in the following first order reaction `N_(2)O_(5)rarr2NO_(2)(g)+(1)/(2)O_(2)(g) " was "1.24xx10^(-2)"mol.L"^(-1)` at 318K. The concentration of `N_(2)O_(5)` after 60minutes was `0.20xx10^(-2)"mol.L"^(-1)` . Calculate the rate constant of the reaction at 318K.

Explanation

For a first order reaction,
`k=(2.303)/(t)log.([A]_(0))/([A])=(2.303)/(60)log.(1.24xx10^(-2))/(0.2xx10^(-2))`
`=0.0304"min"^(-1)`