090126_Homework3 - m is the weight of a gas molecule, M is...

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Chem340 Physical Chemistry for Biochemists Dr. Yoshitaka Ishii Homework 3 Due Date Feb 4, 2009 P2.3, P2.7, P2.8, P2.11, P2.16, P2.19, P2.20, P2.21, P2.23, P2.25, P2.26 1. Calculate dy/dx for the following y: (a) y =ax; (b) y =2x 3 ; (c) y = 3x 3 + 2x -5 (d) y = ln(x/3); (e) y = exp(-ax); (f) y= Acos(bx) (g) y= Asin(bx) +Ccos(bx) (h) y = x 2 exp(- ax 2 ) 2. Calculate dy/dx from the following equations (a) xy = ln(x) + y (b) 1 = cos(x)y 3. () 3 2 2 2 4 Z kT C m C C P / exp ) ( = π . (a) Calculate dP(C)/dC. (b) Show the solutions of dP(C)/dC = 0 are C = 0 and C = ± (2RT/M) 1/2 , where
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Unformatted text preview: m is the weight of a gas molecule, M is its molar mass, and k is the Boltzmann constant. 4. Calculate f/ x and f/ y for the following f (x, y): (a) f = xy-2 (b) f = sin(3xy) (c) f = ln(x 2 y) (d) f = yx 4 + exp(-xy 2 ). 5. Calculate C v = ( U/ T) V and C p = { (U + PV)/ T} P for n mole of ideal gas assuming that U = 3nRT/2 and n is a constant. What kind of molecular properties do they depend on? 6. Calculate dV P V V 2 1 for one mole of ideal gas when (a) P = P (constant) (b) T = T constant....
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This note was uploaded on 04/14/2010 for the course CHEM 340 taught by Professor Yoshitakaishii during the Spring '07 term at University of Illinois, Urbana Champaign.

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