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COMEDK · Physics · 13. Thermodynamics

Carnot heat engine takes \(300 \mathrm{~J}\) of heat from a source at \(627^{\circ} \mathrm{C}\) and gives some part of it to \(\operatorname{sink}\) at \(27^{\circ} \mathrm{C}\). Work done by engine in one cycle is

  1. A \(200 \mathrm{~J}\)
  2. B \(300 \mathrm{~J}\)
  3. C \(150 \mathrm{~J}\)
  4. D \(120 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(200 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

The efficiency of a Carnot engine is given by \(\eta=1-\frac{T_{2}}{T_{1}}\) Given, \(\quad T_{1}=627^{\circ} \mathrm{C}=627+273=900 \mathrm{~K}\) and \(\quad T_{2}=27^{\circ} \mathrm{C}=27+273=300 \mathrm{~K}\)…