A gas containing $20$mol$\%$ sulphur dioxide, $21$mol$\%$ oxygen and $59$mol$\%$ nitrogen at $400C$ is fed to a reactor. $70\%$ of the sulphur dioxide is converted to sulphur titoxita. The product comes out the reactor at $500C.$

DATA

Standard heat of formation $SO2(g)=-297000\frac{k}{k}$mol

Standard heat of formation $SO3(g)=-395100\frac{k}{k}m$ ol

Mean molar heat capacilies of gases between $25C$ and $TC$ at $1$atm $(Cp=k\frac{k}{m}ol.K)$

$\backslash$table$[[T(C),N_2,O_2,SO,S{O}_3$