An engine runs between a reservoir at temperature $200 \,K$ and a hot body which is initially at temperature of $600 \,K$. If the hot body cools down to a temperature of $400 \,K$ in the process, then the maximum amount of work that the engine can do (while working in a cycle) is (the heat capacity of the hot body is $1 \,J / K )$
  • A$200(1-\ln 2) \,J$
  • B$200(1-\ln 3 / 2) \,J$
  • C$200(1+\ln 3 / 2) \,J$
  • D$200 \,J$
KVPY 2020, Advanced
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