The work done by a gas during an isothermal expansion is given by:
Correct answer: A. nRT ln(V₂/V₁)
- A. nRT ln(V₂/V₁)
- B. nRT (V₂/V₁)
- C. nR ln(T₂/T₁)
- D. nRT (T₂/T₁)
Explanation
For an isothermal process, the work done by an ideal gas is W = nRT ln(V₂/V₁), where n is moles, R is the gas constant, T is constant temperature, and V₂/V₁ is the volume ratio.
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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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