Answer:
C.
Explanation:
Thermodynamically speaking, a Carnot engine represents an entirely reversible thermal process and its energy efficiency represents the maximum theoretical efficiency that thermal machines can reach. The efficiency of the ideal thermal process (), no unit, is:
(1)
Where:
- Temperature of the cold reservoir, measured in Rankine.
- Temperature of the hot reservoir, measured in Rankine.
If we know that and , then the energy efficiency of the ideal thermal process is:
By First Law of Thermodynamics, we calculate the work output:
(By definition of efficiency)
(2)
Where:
- Heat received by the engine, measured in Btu.
- Heat rejected by the engine, measured in Btu.
- Work output, measured in Btu.
If we know that and , then the work output of the Carnot engine is:
The work output of the Carnot engine is 115.807 Btu. (Answer: C)