Coke (solid) at 25°C and carbon dioxide (CO$_2$) at 200°C are fed to a continuous reactor.
The reaction that occurs in the reactor is as follows:
C (solid) + CO$_2$ (gas) $\rightarrow$ 2CO (gas):
$\Delta H^\circ$ = 172.47 kJ/mol
The solid coke contains 100 wt% carbon. The feed rate of coke is 14 kmol/s, and the
feed rate of carbon dioxide is 20 kmol/s. The percentage conversion of carbon in the
reactor is 75%. The gaseous products and the unreacted solid carbon leave the reactor
at 900°C.
Calculate the heat supplied to the reactor.
Carbon (C),
14 kmols/s. 25°C
CO$_2$(g),
20 kmols/s, 200°C
75% conversion
Reactor
Q, kJ/s
Product gas mixture,
900°C,
? C (solid)
CO$_2$(gas)
CO(gas)
Data:
• The heat capacity $C_p$ of the solid (carbon) may be taken as 1.00 kJ/kg.°C.
• Refer to Table B.8 (Felder & Rousseau) for enthalpies of CO$_2$ and CO.