At what cold-reservoir temperature (in ∘C) would a Carnot engine with a hot-reservoir temperature of 420 ∘C have an efficiency of 60 %?

Question

Chemistry

Fabian Hinton

30 November, 05:41

At what cold-reservoir temperature (in ∘C) would a Carnot engine with a hot-reservoir temperature of 420 ∘C have an efficiency of 60 %?

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Answers (1)

Know the Answer?

Harper Perry · Answer 1

Tc = 168°C

Explanation:

Carnot engine:

ε = 1 - Tc/Th

∴ ε: efficiency = 60% = 0.60

∴ Th: hot-reservoir temperature = 420°C

∴ Tc: cold-reservoir temperature = ?

⇒ Tc = (1 - ε) * Th

⇒ Tc = (1 - 0.60) * (420 °C)

⇒ Tc = 168°C