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31 January, 22:10

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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  1. 31 January, 22:15
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    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
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