A firebox is at 650 K, and the ambient temperature is 250 K. The efficiency of a Carnot engine doing 146 J of work as it transports energy between these constant-temperature baths is 61.5%. The Carnot engine must take in energy 146 J/0.62 = 237.3 J from the hot reservoir and must put out 91.3 J of energy by heat into the environment. To follow Carnot's reasoning, suppose some other heat engine S could have efficiency 70.0%.(a) Find the energy input and exhaust energy output of engine S as it does 146 J of work