$A$ Carnot engine absorbs $1000\,J$ of heat energy from a reservoir at $127\,^oC$ and rejects $600\,J$ of heat energy during each cycle. The efficiency of the engine and the temperature of the sink will be:

  • A
    $20\%$ and $-43\,^oC$
  • B
    $40\%$ and $-33\,^oC$
  • C
    $50\%$ and $-20\,^oC$
  • D
    $70\%$ and $-10\,^oC$

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$A$ Carnot engine having an efficiency of $40\%$ takes heat from a source maintained at a temperature of $500 \ K$. If the efficiency is to be increased to $60\%$ while keeping the sink temperature constant,what should be the new source temperature in $K$?

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$A$ Carnot's engine has an efficiency of $25 \%$ when its sink is at $27^{\circ} C$. If it has to be increased to $40 \%$,what should be the temperature of the sink keeping the temperature of the source constant (in $K$)?

An engine operating between temperatures $T_1$ and $T_2$ has efficiency $\eta = \frac{1}{5}$. When $T_2$ is lowered by $45 \ K$,its efficiency becomes $\eta' = \frac{1}{2}$. Temperatures $T_1$ and $T_2$ are respectively:

Under which ideal condition does the efficiency of a Carnot engine become $100 \%$?

For which of the following options will the efficiency of a Carnot engine be the highest?

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