The decomposition of `Cl_(2)O_(7)` at 500 K in the gas phase to `Cl_(2)` and `O_(2)` is a first order reaction. After 1 minute at 500 K, the pressure of `Cl_(2)O_(7)` falls from 0.08 to 0.04 atm. Calculate the rate constant in `s^(-1)`.

Explanation

`k=(2.303)/(t)"log"([A_(0)])/([A])`
`k=(2.303)/("1 min")"log"([0.08])/([0.04])`
`k=2.303 log 2`
`k =2.303 xx 0.3010`
`k=((0.6932)/(60))s^(-1)`
`k = 1.153xx10^(-2)s^(-1)`.