090309_Homework7 - plots for G pure and G mixture assuming...

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Chem340 Physical Chemistry for Biochemists Dr. Yoshitaka Ishii Homework 7 Due Date Mar. 18, 2009 Ch 6 P6.2-6.8, P6.10-13, P6.15, P6.17-6.21. P6.24, P6.26, P6.28, P6.30, P6.38, P6.39 Q1. Prove that ( ) 2 T U T T A P / ) ( / Δ = Δ and ( ) U T T A P Δ = Δ ) / ( / 1 . They are also known as Gibbs-Helmholtz equations. Write an expression analogous to Eq. (6.37) to relate Δ A at two temperatures. (Modified from P6.27). Q2 . Figure 6.8 in p126 depicts the total Gibbs energy for a mixture of NO 2 (g) and N 2 O 4 (g) at a different ratio in its equilibrium between (2 -2 ξ ) mole of NO 2 and ξ mole of N 2 O 4 (g) at a constant pressure and temperature at 1 bar and 298 K. (a) Reproduce the
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Unformatted text preview: plots for G pure and G mixture assuming that G m (NO 2 , g) = -38.45 kJmol -1 and G m (N 2 O 4 , g) = -79.60 kJmol -1 . (b) Explain how you obtained the equations to calculate G pure and G mixture . (c) How much is ξ in the equilibrium state. (Modified from P6.41) Q3. Plot G mixture ( ξ ) at 400K for the system described in Q2 (assume that the total pressure is 1 bar). Does T affect ξ in the equilibrium state? (Hint: first, obtain G m (NO 2 , g) and G m (N 2 O 4 , g) at T = 400K.)...
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