Figure P13.110 shows a coal gasification reactor making
Chapter 13, Problem 13.110(choose chapter or problem)
Figure P13.110 shows a coal gasification reactor making use of the carbon–steam process. The energy required for the endothermic reaction is supplied electrically at a rate of \(7.85 \times 10^{4}\) Btu per lbmol of carbon entering. The reactor operates at steady state, with no stray heat transfers and negligible effects of motion and gravity. Evaluate in Btu per lbmol of carbon entering
(a) the exergy entering with the carbon.
(b) the exergy entering with the steam.
(c) the exergy exiting with the product gas.
(d) the exergy destruction within the reactor.
Also devise and evaluate an exergetic efficiency for the reactor. Perform calculations relative to the environment of Table A-26 (Model II). Assume all water vapor present in the combustion products is a vapor at the dead state. For the hydrogen produced, \(\bar{c}_{p}=7.1 \mathrm{Btu} / \mathrm{lbmol} \cdot{ }^{\circ} \mathrm{R}\).
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