A gas containing $10$mol$\%$ sulphur dioxide, $11$mol$\%$ oxygen and $79$mol$\%$ nitrogen at $400C$ is fed to a reactor. $60\%$ of the sulphur dioxide is converted to sulphur trioxide. The product comes out the reactor at $500C.$

DATA

Standard heat of formation SO$2(g)=-297000k\frac{J}{k}$mol

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

Mean molar heat capacities of gases between $25C$ and $TC$ at $)=(k\frac{J}{k}$mol.$K$

$\backslash$table$[[T(C),N_2,O_2,S{O}_2,S{O}_3$