The work done in an adiabatic process is given by:
Correct answer: B. (P₁V₁ - P₂V₂)/(γ - 1)
- A. nRΔT
- B. (P₁V₁ - P₂V₂)/(γ - 1)
- C. nRT ln(V₂/V₁)
- D. PΔV
Explanation
For an adiabatic process, work done is W = (P₁V₁ - P₂V₂)/(γ - 1), derived from the pressure-volume relationship and the first law, where γ is the ratio of specific heats.
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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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