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For a heat engine 'A' the ratio of Q2 to Q1 is 2/3 while for that of heat engine 'B', the ratio of Q2 to Q1 is 1/3. What is the value ηA: ηB?

Correct answer: B. 1:2

  • A. 1:3
  • B. 1:2
  • C. 2:3
  • D. 2:1

Explanation

To find the value of the efficiency ratio (ηA:ηB) between two heat engines A and B, we need to compare the ratios of their heat outputs (Q2) to their heat inputs (Q1).Given:Given that the ratio of Q2 to Q1 for engine A is ⅔ and for engine B is ⅓.Formula:We can calculate their efficiencies individually using the formula:Efficiency (η) = 1 - (Q2 / Q1)For Engine A: ηA = 1 - (⅔) = ⅓For Engine B: ηB = 1 - (⅓) = ⅔ Therefore, the efficiency ratio: ηA : ηB ⅓ : ⅔ 1 : 2The efficiency ratio of engine A to engine B is 1:2.

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About First Law of Thermodynamics

The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.

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