Which condition fails to hold for a reversible adiabatic process?
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Answer: D. None of these
Explanation
All listed equations correctly describe the polytropic and adiabatic property relationships for an ideal gas. The adiabatic relations connecting pressure, volume, and temperature are derived using the specific heat ratio gamma. None of the provided equations fail because they all accurately represent reversible adiabatic expansion laws. Reversible adiabatic processes for ideal gases satisfy equations involving pressure, volume, and temperature ratios. The exponent gamma represents the ratio of specific heat at constant pressure to specific heat at constant volume. Polytropic exponent values reduce to specific adiabatic constants when heat transfer is zero.
Mechanical engineers use these adiabatic equations to calculate temperatures and pressures in compressor stages. Designing efficient gas turbines requires accurate modeling of reversible adiabatic expansion processes. Verifying thermodynamic identities prevents calculation errors in power plant cycle efficiency evaluations. The volume-temperature adiabatic relation TV^(gamma-1) is a valid and correct expression for ideal gases. The pressure-temperature adiabatic relation is also mathematically accurate for reversible gas compression. The standard pressure-volume adiabatic equation PV^gamma = constant is fundamental to thermodynamics.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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