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Physical Chemistry I

Physical Chemistry I. Text Book: “Physical Chemistry” 10 th edition, by Peter Atkins, Julio De Paula. Logarithm and Exponential. Natural Logarithms: ln x + ln y = ln xy ln x + ln y = ln ( x/y) a ln x = ln x a ln x = ( ln 10) log x = 2.302585 log x

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Physical Chemistry I

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  1. Physical Chemistry I Text Book: “Physical Chemistry” 10th edition, by Peter Atkins, Julio De Paula

  2. Logarithm and Exponential Natural Logarithms: ln x + ln y = lnxy lnx + ln y = ln( x/y) a ln x = lnxa lnx = (ln 10) log x = 2.302585 log x Exponential Functions: e = 2.71828182846… exey=ex+y ex / ey=ex-y

  3. Differentiation and integration Page 59-62 Differentiation: definition

  4. Basic Derivatives

  5. Differentiation: Manipulation

  6. Examples

  7. Differentiation: Manipulation Taylor Expansion

  8. Integration: definition = limdx-0 Definite Integral versus Indefinite Integral

  9. Some Basic Integrals

  10. Examples

  11. Multivariate Calculus Page 109-111

  12. The First Law (Chapter 2 of Text Book) • Basic concepts • Open, closed & isolated systems 64 • Work, heat, and energy65 • Expansion work 68 • Heat Capacity 73 • Enthalpy 75 • Thermochemistry • Standard enthalpy changes 80 • Standard enthalpy of formation 84 • State functions and exact differentials • Exact and inexact differentials 80 • Changes in internal energy 84 • Joule-Thomson effect 95 • Adiabatic changes 100

  13. State function: its value depends only on the current state of the system and is independent of how that state has been prepared. Energy is a state function. What is Energy U? U = P + K K = Korder + Krandom

  14. Work, heat, and energy DU = q + w Internal energy of an isolated system is constant DU = q + w U: Internal Energy Heat: q Work: w

  15. Vibrational modes of CO2 Symmetric stretching Asymmetric stretching Bending Degeneracy=2

  16. Vibrational modes of H2O Symmetric stretching Asymmetric stretching Bending

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