A carnot engine extracts 1200J of energy from a hot reservoir. What is the amount of work done by it? Temperatures of hot and cold reservoirs are 200K and 150K respectively.

A carnot engine extracts 1200J of energy from a hot reservoir. What is the amount of work done by it? Temperatures of hot and cold reservoirs are 200K and 150K respectively.

  1. A

    800J

  2. B

    900J

  3. C

    600J

  4. D

    400J

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    Solution:

    The efficiency of a carnot engine is:
    1- T2/T1 = 1-150/200 = 1/4.
    Efficiency is also given by: 1 – Q2/Q1 = 1 – Q2/1200 = 1/4.
    Q2 = (3/4 )×1200 = 900J.

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