Problem$-5$

A system executes a power cycle while receiving $1050$ kJ by heat transfer at a temperature of $525$ K and discharging $700$ kJ by heat transfer at $350$ K $.$ There are no other heat transfers.

$($a$)$ Using Eq$.5\mathrm{.}13,$ determine whether the cycle is internally reversible, irreversible, or impossible.

$($b$)$ Determine the thermal efficiency using Eq$.5\mathrm{.}4$ and the given heat transfer data. Compare this value with the Carnot efficiency calculated using Eq$.5\mathrm{.}9$ and comment