A producer gas has the volume composition of $CO30\%,C{O}_{2}2\%,H_{2}2\%$ and $N_{2}66\%.$ The producer gas is at $50C$ and burned with $20\%$ excess air $(100C)$ over the net $O_2$ demand. The flue gas is vented at $150C.$ Calculate the heat $($in GJ$)$ that could be recovered from the burning of $100$kmol of the producer gas.

Data

Air composition: $21\%O_2$ and $79\%N_2$ by volume

Formation heat at normal temperature and pressure: $CO(g)-283\mathrm{.}5k\frac{J}{m}ol$;$C{O}_2(g)-393\mathrm{.}5k\frac{J}{m}ol$;$H_{2}O(g)-285\mathrm{.}8k\frac{J}{m}ol$ Mean molar heat capacities of gase at $.$ K$)$

$\backslash$table$[[T(C),N_2,O_2,CO,C{O}_2,H_2,H_2$