090202_Homework4_rev1 - use ∂ f ∂ P P = ∂ g ∂ V V...

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Chem340 Physical Chemistry for Biochemists Dr. Yoshitaka Ishii Homework 4 Due Date Feb 11, 2009 P2.31, P2.34 P3.2, P3.3, P3.4, P3.7, P3.10, P3.15, P3.16, P3.19, P3.21, P3.22, P3.23, P3.25 (Use data in Appendix B if needed) 1. Show Dq = dU – Dw is not an exact differential with respect to V and T for an ideal gas. (Hint: Use Dw = -P(V,T)dV and dU =Cv(T)dT). 2. Assuming that dU is an exact differential, show dH is also an exact differential for P and V. (Hint: Define dU as dU = f(P,V)dP + g(P, V)dV &
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Unformatted text preview: use ( ∂ f/ ∂ P ) P = ( ∂ g/ ∂ V) V ). You can also use dH = d(U + PV) = dU + pdV + VdP. 3. Consider the isothermal expansion of 1.00 mol of an ideal gas at 450. K from an initial pressure of 15.0 bar to a final pressure of 3.00 bar. Plot V (x axis) vs P ext (y axis) graphs for (a) a reversible case that P = P ext and (b) a case that P ext = 3.00 bar. (c) Indicate the area that corresponds to the work | w | done by system in each graph. (d) Which graph gives you a greater work?...
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