The decomposition of azo methane, at certain temperature according to the equation
`(CH_(3))_(3)N_(2)rarr C_(2)H_(5)+N_(2)` is a first order reaction.
After 40 minutes from the start, the total pressure developed is found to be `350 mm Hg` in place of initial pressure `200 mm Hg` of axo methane . The value of rate constant `k` is `-`

Options

A. `2.88 xx 10^(-4) sec ^(-1)`
B. `1.25 xx10^(-4)sec^(-1)`
C. `5.77xx10^(-4)sec^(-1)`
D. None of these

Answer

3

Explanation

`k=(2.303)/(t)-log((P_(1))/(P_(1))),`
`t=0` `{:((CH_(3))_(2)N_(2),rarr,C_(2)H_(6),+,N_(2)),(200,,0,,0),(200-x,,x,,x):}`
as per given `200+x=350" x=150`
`:.k=(2.303)/(t)log((200)/(200-150))`
`k=5.77xx10^(-4)sec^(-1)`