The reaction of acetic anhydride with water to form acetic acid is found to be a pseudo$-$first order reaction with $k=$

$\frac{0\mathrm{.}158}{m}in$ at $25C.$ If two backmix reactors with volume $0\mathrm{.}5L$ each is used with a feed rate of $0\mathrm{.}5\frac{L}{h},$ determine

the conversion in the first rector.

a$.0\mathrm{.}712$

b$.0\mathrm{.}831$

c$.0\mathrm{.}864$

d$.0\mathrm{.}905$