Question I $(50$ points rotal$)$ Assuming that heat transfer from a hot revervoir to a cycle in $1000$ kJ and from the cycle to the cold reservoir is $200$ kJ determine whether or not the following procestes are internally reversible, irreversible or impossible $($show all work and explain where necessary$)$

$($a$)T_{11}=2000,T_C=500$

$($b$)T_H=2000K,T_c=100N$

$($c$)T_h=3000K*T_C=600K$

$($d$)T_{th}=3000K,T_C=300K$