1.

The rate of first-order reaction is `1.5 xx 10^(-2) M "min"^(-1)` at `0.5 M` concentration of reactant. The half-life of reaction isA. `0.383min`B. `23.1min`C. `8.73 min`D. `7.53 min`

Answer» Correct Answer - B
for the first order reaction,
`rate((dx)/(dt))=K[A]`
[A] = concentration of reactant
k= rate constant
given that ,
`(dx)/(dt)=1.5xx10^(-2)molL^(-1)min""^(-1)`
`k=?and [A]=0.5M`
`therefore 1.5xx10^(-2)=kxx0.5`
`therefore k=(1.5xx10^(-2))/(0.5)`
`=3xx10^(-2) min^(-1)`
for first order reaction ,
Half -life period `t_(1//2)=(0.693)/(k)=(0.693)/(3xx10^(-2))`
`=23.1 min`


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