The liquid phase reaction of sodium thiosulfate $($A$)$ and hydrogen peroxide $($B$)$

Na$,$S$,0,+2$H$0,$ Products

is carried out in a batch reactor. Assume second order kinetics with respect to A$.$ and

zero order with respect to B$.$ Determine the necessary time and final reaction mixture

temperature for $75\%$ conversion under $*$adiabatic$*$ conditions. Use the following data:

k $=$ A$*$exp $(-$E$/$RT$)$ m$^3/$mol$.$s

A $=6\mathrm{.}853*10^11$

E$=76\mathrm{.}480$ kJ$/$molA

$-$deltaHr $=548,000$ kJ$/$kmol

CAo $=0\mathrm{.}204$ kmol$/$m$^3$

V$=2790$ cm$^3$

Cp $=4\mathrm{.}2$ J$/$g$.$K

To $=273$ K

rho $=1\mathrm{.}05$ g$/$cm$^3$

R $=8\mathrm{.}314$

adiabatic $=$ Mt$*$Cp dT$/$dt $=$ v$(-$deltaHr$)*(-$ra$)$ or v$(-$deltaHr$)(-$dCa$/$dt$)$

$**$Please use Polymath or Matlab to solve this problem$**$