The converison of vinyl allyl ether to pent-`4`-enol follows first order kinetics. The following plot is obtained for such a reaction:

The rate constant for the reaction is

Options

A. `4.6 xx 10^(-2) s^(-1)`
B. `1.2 xx 10^(-2) s^(-1)`
C. `2.3 xx 10^(-2) s^(-1)`
D. `8.4 xx 10^(-2) s^(-1)`

Answer

C

Explanation

`k = (2.303)/(t)log.(a)/(a-x)`
`(kt)/(2.303) = log.a-log (a-x)`
`:. log (a-x) = log a-(kt)/(2.303)`
`log(a-x) = log a -(k)/(2.303)t`
(Equation of straight line)
`y = mx + c`
Slope `= (-k)/(2.303) = (-6)/(10 xx 60)`
`:. k = 2.303 xx 10^(-2)s^(-1)`