Question

For the irreversible reaction following the chemical equation;

$AkB$

which gives the elementary rate law of first$-$order.

Combine the rate law and stoichiometry of the reaction to give $-r_{}$ as a function

of $k,C_{A0}$ and $x.$

$(6$ marks$)$

What is the CSTR volume necessary to achieve $90\%$ of the adiabatic conversion for

$C_{A0}=1\mathrm{.}0mo\frac{l}{d}{m}^3$ and volumetric flow rate, $v_0=5d\frac{m^3}{m}in.$

DATA:

Enthalpy change of reactant $A,H_{}(298K)=-46,000ca\frac{l}{m}ol$

Enthalpy change of product $B,H_B(298K)=-60,000ca\frac{l}{m}ol$

Rate constant, $k=0\mathrm{.}000035e^{\frac{E_A}{R}(\frac{1}{2}-\frac{1}{T})}$min$-1(E_{}=10,000ca\frac{l}{m}ol)$

$C_p$ values;

$C_{p_{\text{I}}}$:$50ca\frac{l}{m}ol*K$

$C_{p_A}$:$25ca\frac{l}{m}ol*K$

$C_{p_B}$:$25ca\frac{l}{m}ol*K$

$=1$