Question

A Carnot engine operates between reservoirs at 600 and 300 K. If the engine absorbs 100 J per cycle at the hot reservoir, what is its work output per cycle?

a) 50 J
b) 100 J
c) 150 J
d) 200 J

Answer 1

The work output of the Carnot engine operating between reservoirs at 600 K and 300 K, with an absorbed heat of 100 J per cycle, is 60 J.

Step-by-step explanation:

A Carnot engine operates between two temperature reservoirs, a hot reservoir at 600 K and a cold reservoir at 300 K. The engine absorbs 100 J of heat from the hot reservoir per cycle. The work output of the engine can be calculated using the formula:

Work = Efficiency * Heat Input

The efficiency of a Carnot engine can be calculated using the formula:

Efficiency = 1 - (Temperature of Cold Reservoir / Temperature of Hot Reservoir)

In this case, the efficiency is 0.6, so the work output can be calculated as:

Work = 0.6 * 100 J = 60 J

Therefore, the work output per cycle of the Carnot engine is 60 J.