Question $10(10$ points$)$

A heat engine operates on a Carnot cycle with a maximum temperature of $500C.$ The system's entropy

varies between a minimum of $0\mathrm{.}851k\frac{J}{k}g*K$ and a maximum of $2\mathrm{.}8k\frac{J}{k}g*K.$ Given that the engine is

capable of producing a maximum work of $1000k\frac{J}{k}g,$ calculate the Carnot efficiency of the cycle. $(10$

points$)$