Question

11.Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are as follows: Engine a: , Engine b: , Engine c: , Rank the engines in order of their theoretically possible efficiency, from highest to lowest.

Answer 1

Answer:

Engine C > Engine B > Engine A

Explanation:

To calculate the theoretical efficiencies, we use the formula

1 - (Tc/Th)

Where Tc is the temperature of the cold reservoir

And Th is the temperature of the hot reservoir

Answer 2

The ranking of the given engines in order of their theoretically possible efficiency, from highest to lowest is;

C > B > A

Theoretical Efficiency of Engines

The formula for theoretical efficiency of engines is;

η = 1 - (Tc/Th)

Where;

Tc is the temperature of the cold reservoir.

Th is the temperature of the hot reservoir.

Thus the theoretical efficiencies are;

For Engine A;

η = 1 - (5700/6000)

η = 0.05

For Engine B;

η = 1 - (5500/5800)

η = 0.0517

For Engine C;

η = 1 - (5300/5600)

η = 0.0536

Looking at all the calculated theoretical efficiencies, Engine C has the highest followed by Engine B then Engine A.

The complete question is;

Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are as follows:

Engine A: Th 6000 K, Tc 5700 K

Engine B: Th 5800 K, Tc 5500 K

Engine C: Th 5600 K, Tc 5300 K

Rank the engines in order of their theoretically possible efficiency, from highest to lowest.

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