Unformatted text preview: Given that μ = {(2a/RT)b}/C p,m with C p,m = 38.4 J K1 mol1 , a = 3.60 L 2 atm mol2 , and b = 0.44 L mol1 , calculate ∆ H for the process. 4. Derive the relation ( 29 ( 29 U T V T V V U C ∂ ∂ ∂ ∂= from the expression for the total differential of U(T,V). 5. Starting from the expression ( 29 ( 29 P V v p T V T P T C C ∂ ∂ ∂ ∂ =, use the appropriate relations between partial derivatives to show that ( 29 ( 29 T P v p P V T V T C C ∂ ∂ ∂ ∂=2 Evaluate C pC v for a perfect gas. 6. Derive an expression for the internal pressure of a van der Waals gas (see eqn 7.1) in terms of a, b, and V m . Use the expression to show that μ = {(2a/RT)b}/C p,m by using the definition of μ and appropriate relations between partial derivatives. (Hint: Use the approximation pV m ≈ RT when it is justifiable to do so.)...
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 Fall '09
 Goux
 Physical chemistry, Thermodynamics, Atom, pH, Van der Waals

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