For an ideal gas, the relation between temperature and volume in an adiabatic process is:
Correct answer: C. TV⁽ᵞ⁻¹⁾ = constant
- A. TVᵞ = constant
- B. TᵞV = constant
- C. TV⁽ᵞ⁻¹⁾ = constant
- D. T/V = constant
Explanation
For an adiabatic process, PV^γ = constant. Using the ideal gas law (PV = nRT), this becomes TV^(γ-1) = constant, 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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