Discussion
Match the following:
| Thermodynamic function/equation | Expression | ||
|---|---|---|---|
| A1 | Helmholtz function (\(a\)) | B1 | \(\left(\frac{d}{dT}(\ln P)\right)_{sat} = \frac{h_{g} - h_{f}}{RT^{2}}\) |
| A2 | Gibbs function (\(g\)) | B2 | \(u - Ts\) |
| A3 | \(T\)-\(ds\) equation | B3 | \(du = Tds - Pdv\) |
| A4 | Clapeyron-Clausius equation | B4 | \(h - Ts\) |
Answer: C
The correct match is A1→B2, A2→B4, A3→B3, A4→B1.
- Helmholtz function: \(a = u - Ts\).
- Gibbs function: \(g = h - Ts\).
- T-ds equation: \(du = Tds - Pdv\), the first law for a simple compressible substance with reversible work and heat.
- Clapeyron-Clausius equation: \(\left(\frac{d\ln P}{dT}\right)_{sat} = \frac{h_{fg}}{RT^{2}}\), the Clapeyron equation for a liquid-vapour change with an ideal-gas vapour and negligible liquid volume.
The common confusion is swapping the two free-energy functions: Helmholtz uses internal energy and Gibbs uses enthalpy. Options pairing A3 with B1 also swap the T-ds relation and the vapour-pressure equation.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development