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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 \(6 \times 10^{4}\) J at high temperature. The amount of heat converted into work is

  1. A \(4.8 \times 10^{4} \mathrm{~J}\)
  2. B \(35 \times 10^{4} \mathrm{~J}\)
  3. C \(1.6 \times 10^{4} \mathrm{~J}\)
  4. D \(1.2 \times 10^{4} \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

Given, amount of heat absorbed, \(Q=6 \times 10^{4} \mathrm{~J}\) Temperature of reservoir, \(T_{1}=227^{\circ} \mathrm{C}=227+273 \mathrm{~K}\) \[ =500 \mathrm{~K} \] Temperature of \(\operatorname{sink}, T_{2}=127^{\circ} \mathrm{C}\)…