$($a$)$ Using Eq$.5\mathrm{.}13$ expressed on a time$-$rate basis, determine if the cycle is internally reversible, irreversible, or impossible.

$($b$)$ Determine the thermal efficiency using Eq$.5\mathrm{.}4$ expressed on a time$-$rate basis and steam table data.

$($c$)$ Determine the Carnot efficiency calculated using Eq$.5\mathrm{.}9$ with the boiler and condenser temperatures.