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

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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 Exponential Functions: e = 2.71828182846 e x e y = e x+y e x / e y = e x-y

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Page 59-62 Differentiation: definition Differentiation and integration

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Basic Derivatives

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Differentiation: Manipulation

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Examples

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Differentiation: Manipulation Taylor Expansion

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Integration: definition = lim x - 0 Definite Integral versus Indefinite Integral

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Some Basic Integrals

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Examples

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Multivariate Calculus Page 109-111

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The First Law (Chapter 2 of Text Book) Basic concepts 1.Open, closed & isolated systems64 2.Work, heat, and energy65 3.Expansion work68 4.Heat Capacity73 Enthalpy75 Thermochemistry 1.Standard enthalpy changes80 2.Standard enthalpy of formation84 State functions and exact differentials 1.Exact and inexact differentials80 2.Changes in internal energy84 3.Joule-Thomson effect95 Adiabatic changes100

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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 = K order + K random

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

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Vibrational modes of CO 2 Symmetric stretching Asymmetric stretching Bending Degeneracy=2

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Vibrational modes of H 2 O Symmetric stretching Asymmetric stretching Bending

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Thermochemistry: Standard enthalpy changes

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Thermochemistry: Standard enthalpies of formation

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State functions and exact differentials: Exact and inexact differentials Infinitesimal change of a state function is an exact differential

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State functions and exact differentials: Changes in internal energy

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Perfect gas In general

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Adiabatic Processes

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