P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the appropriate relations between partial derivatives (The chemist’s toolkit 9 in Topic 2A) to show that C C T V T V p ( / ) ( / ) p V p T 2 − = ∂ ∂ ∂ ∂ Use this expression to evaluate Cp − CV for a perfect gas.

P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the appropriate relations between partial derivatives (The chemist’s toolkit 9 in Topic 2A) to show that C C T V T V p ( / ) ( / ) p V p T 2 − = ∂ ∂ ∂ ∂ Use this expression to evaluate Cp − CV for a perfect gas.

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section: Chapter Questions

Problem 45QRT: At the critical point for carbon dioxide, the substance is very far from being an ideal gas. Prove...

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Gallium melts just above room temperature and is liquid overa very wide temperature range 130–2204 °C2, which means itwould be a suitable fluid for a high-temperature barometer.Given its density, dGa = 6.0 g>cm3, what would be the heightof the column if gallium is used as the barometer fluid andthe external pressure is 9.5 * 104 Pa?
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Gallium melts just above room temperature and is liquid overa very wide temperature range (30–2204 °C), which means itwould be a suitable fluid for a high-temperature barometer.Given its density, dGa = 6.0 g/cm3, what would be the heightof the column if gallium is used as the barometer fluid andthe external pressure is 9.5 x104 Pa?
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