PhysicsThermodynamics

Carnot Cycle: Maximum Work Between 200 °C and 20 °C

Use kelvin temperatures to find the Carnot efficiency limit, maximum work output, and rejected heat for a two-reservoir engine.

Question

A heat engine draws 1000 J from its hot reservoir during each cycle. The reservoirs are at 200 °C and 20 °C. (a) Determine the greatest work output possible per cycle. (b) At that limiting work output, determine the heat delivered to the cold reservoir per cycle.

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Evidence boundary

This calculation gives the reversible upper bound for the stated fixed reservoir temperatures and heat input. It does not claim that an actual engine attains that bound. Heat absorbed and rejected are positive magnitudes; the standardized prompt preserves both parts of OpenStax Problem 39.