Task

A volume$-$constant equilibrium reaction of the type:

$2AB\frac{k_1}{k_2}$

should be carried out isothermally at $35C$ in an ideal batch reactor and

a conversion of $UA=0\mathrm{.}5$ should be achieved. The equilibrium constant $Kc$

is $11\mathrm{.}534$ and the velocity constant $k2$ is $3\mathrm{.}6510-4s-1.$ The concentrations

of A and $B$ are given as follows:

$CA=1\mathrm{.}5\frac{\text{k}\text{m}\text{o}\text{l}}{m^3}$ and $CB1\mathrm{.}5,\frac{\text{k}\text{m}\text{o}\text{l}}{m^{33}}$

What reaction time is required for a turnover of $UA=0\mathrm{.}5?$