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COMEDK · Physics · 13. Thermodynamics

An ideal gas heat engine operates in a Carnot's cycle between \(227^{\circ} \mathrm{C}\) and \(127^{\circ} \mathrm{C}\). It absorbs \(6 \times 10^{4} \mathrm{~J}\) at high temperature. The amount of heat converted into work is

  1. A \(1.6 \times 10^{4} \mathrm{~J}\)
  2. B \(1.2 \times 10^{4} \mathrm{~J}\)
  3. C \(4.8 \times 10^{4} \mathrm{~J}\)
  4. D \(3.5 \times 10^{4} \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.2 \times 10^{4} \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Given, \(T_{1}=227^{\circ} \mathrm{C}=227+273=500 \mathrm{~K}\) \[ T_{2}=127^{\circ} \mathrm{C}=127+273=400 \mathrm{~K} \] Heat input, \(H_{i}=6 \times 10^{4} \mathrm{~J}\) Efficiency of Carnot engine,…