The data listed below are claimed for a power cycle operating between hot and

cold reservoirs at $827$C and $27$C$,$ respectively. For each case, determine whether the cycle

operates reversibly, irreversibly or if it is impossible. Be sure to check both the first law and

second law of thermodynamics to ensure the cycle is possible

a$.$ QH $=672$ kJ Wcycle $=310$ kJ QC $=362$ kJ

b$.$ QH $=432$ kJ Wcycle $=314$ kJ QC $=118$ kJ

c$.$ QH $=443$ kJ Wcycle $=322$ kJ QC $=136$ kJ

d$.$ QH $=469$ kJ Wcycle $=356$ kJ QC $=113$ kJ