Question

The isomerization of methylisonitrile to acetonitrileCH3NC(g)→CH3CN(g)is first order in CH3NC . The rate constant for the reaction is 2.34×10−4 s−1 at 489 K .The half-life of the reaction when the initial {\rm [CH_3NC]} is 0.030 M is ________ {\rm s}.A. 1.43×105B. 3.37×10−4C. 4.28×103D. 2.14×103E. 2.96×103

Answer 1

Option E, Half life =
`2.96* 10^3\ s`

Step-by-step explanation:

For a first order reaction, rate constant and half-life is related as:

`t_(1/2)=(0.693)/(k)`

Where,

`t_(1/2)` = Half life

k = Rate constant

Rate constant given =
`2.34* 10^(-4)\ s^(-1)`

`t_(1/2)=(0.693)/(k)`

`=(0.693)/(2.34 * 10^(-4))=2.96* 10^3\ s`

So, the correct option is option E.