090114_Lecture2

090114_Lecture2 - Physical Chemistry I for Biochemists...

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1 Physical Chemistry I for Biochemists Chem340 Lecture 2 (1/14/09) Yoshitaka Ishii Gas Ch. 1 Non-Ideal Gas (Ch 1 & Raff p21-41) Correction of Homework (p1.30 in text p13) •P i = P i 0 exp(-M i g/RT) Æ P i = P i 0 exp(-M i gz/RT) If you find any corrections needed in your homework, please let me know it.
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2 Ideal Gas Eq. using molar density PV = nRT P, T, ρ : Intensive variable (variables that does not depend on the size of the system) n, V: Extensive variable (those that depend on the size) P = ρ RT Å This depends on only three intensive variable. ρ Is called molar density Isotherms, isobars, isochores • Isotherm: T = constant Æ PV/n = const • Isobar: P =const Æ V/nT = const • Isochore (or isovolumetric): V = const P/nT = const T increase 0 20 40 60 80 00 . 511 . 52 1/V (1/m3) P (Pa)
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3 Sample question on isothermal process 0 20 40 60 80 00 . 511 . 52 1/V (1/m3) P (Pa) Q1. The 4 lines shows isothermal plot representing 1/V dependence of P for the same ideal gas at T = 200K, 300K, 400K, 500K. Which graph shows that for 500 K? Q2. Predict how many moles of gas exists ? Sample question on isobaric plots Isobaric plot of V vs T 0 2 4 6 8 10 12 0 50 100 150 200 250 T (K) V (m^3) Series1 Series2 Series3 Series4 The plot shows plots for isobaric processes at P = 2, 4, 6, 8 Pa. Which plot indicate that for 2 Pa?
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4 A Mixed Ideal Gas & Partial Pressure • For a mixture of ideal gasses, the partial pressure for molecule i is given by P i = n i RT/V, where n i denotes # of moles for the gas molecule i. • The overall pressure of the mixed gas is P = Σ P i x i = P i /P = n i /n is called molar fraction, where n = Σ n i Sample Question • Here is a container having air that consists
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This note was uploaded on 10/11/2009 for the course CHEM 340 taught by Professor Staff during the Spring '08 term at Ill. Chicago.

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090114_Lecture2 - Physical Chemistry I for Biochemists...

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