Please provide explanation and steps where possible An inven

**Please provide explanation and steps where possible

An inventor claims to have developed a heat engine that receives 700 kJ of heat from a source at 500 K and produces 300 kJ of net work while rejecting the waste heat to a sink at 290 K. Through calculation, show that this is an unreasonable claim.

Solution

Carnot Efficiency = 1 - T_low / T_high

= 1 - 290 / 500

= 0.42

Actual Efficiency = Work done / Heat input

= 300 / 700

= 0.4286

Since 0.4286 > 0.42, the actual efficiency turns out to be greater than Carnot efficiency which can never be true.

Hence, the claim is unreasonable.