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Q#1
Solution Thermodynamics
GATE CH 2024
NAT
+2 marks
-0 marks
Ethylene obeys the truncated virial equation-of-state
\(\frac{𝑃𝑉}{𝑅𝑇} = 1 +\frac{𝐵𝑃}{RT}\)
where P is the pressure, V is the molar volume, T is the absolute temperature and B is the second virial coefficient. The universal gas constant \(𝑅 = 83.14 bar cm^3 mol^{−1}K^{−1}\)
At 340 K, the slope of the compressibility factor vs. pressure curve is Let \(G^R\)denote the molar residual Gibbs free energy. At these conditions, the value of
\(\begin{align*} \left(\frac{\partial G^R}{\partial P}\right)_T \end{align*}\) , in \(cm^3 mol^{-1}\), rounded off to 1 decimal place, is ___________
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| Topic | Questions | Attempted | Correct | |
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| Heat Transfer | 26 | 0 | 0 | |
| Chemical Technology | 17 | 0 | 0 | |
| Mechanical Operations | 12 | 0 | 0 | |
| Mass Transfer | 42 | 0 | 0 | |
| Instrumentation and Process Control | 26 | 0 | 0 | |
| Fluid Mechanics | 24 | 0 | 0 | |
| Engineering Mathematics | 41 | 0 | 0 | |
| General Aptitude | 60 | 0 | 0 | |
| Chemical Reaction Engineering | 26 | 0 | 0 | |
| Process Calculation | 9 | 0 | 0 | |
| Plant Design Economics | 10 | 0 | 0 | |
| Thermodynamics | 24 | 0 | 0 |
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