Consider a SOFC system with an electrical efficiency of $55\%.$ Suppose the SOFC rejects heat at $800$C$.($a$)$ If a heat engine takes this input heat from the fuel cell and rejects it at $100$C$,$ what is the Carnotefficiency of this heat engine?$($b$)$ Assume that the practical efficiency of the heat engine is $60\%$ of the Carnot efficiency. In this case,if the heat engine and fuel cell are combined, what would be the net electrical efficiency of thecombined system?