Checkpoint 3 Three Carnot engines operate between reservoir temperatures of (a) 400 and 500 K . (b) 600 and 800 K , and (c) 400 and 600 K . Rank the engines according to their thermal efficiencies, greatest first.
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Step 1: Recall the formula for the thermal efficiency (\(\eta\)) of a Carnot engine, which is given by: \[ \eta = 1 - \frac{T_C}{T_H} \] where \(T_C\) is the temperature of the cold reservoir and \(T_H\) is the temperature of the hot reservoir. Show more…
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Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are as follows: Engine A: Th = 1 000 K, Tc = 700 K; Engine B: Th = 800 K, Tc = 500 K; Engine C: Th = 600 K, Tc = 300 K. Rank the engines in order of theoretically possible efficiency from highest to lowest.
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A Carnot engine can be operated with one of the following four sets of reservoir temperatures: $\mathbf{A}, 400 \mathrm{K}$ and $800 \mathrm{K} ; \mathrm{B}, 400 \mathrm{K}$ and $600 \mathrm{K} ; \mathrm{C}, 800 \mathrm{K}$ and $1200 \mathrm{K} ;$ and $\mathrm{D}, 800 \mathrm{K}$ and $1000 \mathrm{K}$. Rank these reservoir temperatures in order of increasing efficiency of the Carnot engine. Indicate ties where appropriate.
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