Question $1$

Liquid reactant A decomposes as follows:

$AR,r_R=k_1{C}_A^2,k_1=0\mathrm{.}5\frac{m^3}{m}ol.s$

$AS,r_5=k_2{C}_A,k_2=1s^{-1}$

An aqueous feed of the composition $C_{AO}=30mo\frac{l}{m^3},C_{RO}=2mo\frac{l}{m^3}$ and $C_{SO}=1mo\frac{l}{m^3}$ enters an isothermal CSTR in the above reactions occur. Assume steady state conditions. For a conversion of $A$ of $80\%.$

Calculate the exit concentrations of $R$ and $S$ in $mo\frac{l}{m^3}.$

With $R$ as the desired product and $S$ undesired product, calculate the following:

$2\mathrm{.}1$ Instantaneous and overall selectivity at $80\%$ conversion

$(7)$

$2\mathrm{.}2$ Instantaneous yield at $80\%$ conversion

$(5)$