Fuel cell system $(40+6pts)$ :

An SOFC system uses methane $(C{H}_4)$ as fuel operates at $1000K.$ It is designed to serve as a power supply with the following conditions:

FC subsystem: each fuel cell area is $100c{m}^2,$ operating voltage is $0\mathrm{.}7V$ and $1\mathrm{.}0\frac{A}{c}{m}^2.$

The FC stack is made up of $10$ cells connected in series;

Methane supply stoichiometric ratio is $1\mathrm{.}2.$

The fuel$-$supply$/$processing subsystem efficiency is $95\%$;

Power electronic subsystem efficiency is $90\%$;

Thermal management subsystem with heat recovery efficiency of $80\%.$

$\backslash$table$[[,C{H}_4,O_2,C{O}_2,H_{2}O(g)$