Heat Capacity Ratio
For ideal gas, Cp - Cv equals?
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About This Question
- Subject
- physics
- Chapter
- thermodynamics
- Topic
- heat capacity ratio
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
R
- Mayer's Relation: For an ideal gas, the molar heat capacity at constant pressure (Cp) and at constant volume (Cv) are related by the universal gas constant (R).
- Derivation: From enthalpy H=U+PV. For an ideal gas PV=RT, so H=U+RT.
- Differentials: dH=dU+Rdt⟹CpdT=CvdT+RdT.
- Result: Dividing by dT gives Cp−Cv=R.
- Significance: This holds true for any ideal gas, regardless of its atomicity or molecular structure.
This easy difficulty physics question is from the chapter thermodynamics, covering the topic of heat capacity ratio. It appeared in the 2025 exam.
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