FinalEquations.2008

FinalEquations.2008 - Equations ax 2 bx c = 0 and x = b ±...

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Unformatted text preview: Equations ax 2 + bx + c = 0 and x =- b ± √ b 2- 4 ac 2 a Quadratic Equation PV = nRT Ideal Gas Law P T = ∑ i P i Dalton’s law of partial pressures parenleftbigg P + an 2 V 2 parenrightbigg ( V- nb ) = nRT van der Waals equation Z = 1 + B V m + C V 2 m + D V 3 m + ··· Virial Equation Z = 1 + B ′ P + C ′ P 2 + D ′ P 3 + ··· Virial Equation E trans = 3 2 RT N A = 3 2 k B T Average kinetic energy v rms = radicalbigg 3 k B T m = radicalbigg 3 RT M Root-mean-square velocity dN N = 4 πc 2 parenleftBig m 2 πk B T parenrightBig 3 / 2 e − mc 2 / 2 k B T dc Maxwell speed distribution c = radicalbigg 8 k B T πm = radicalbigg 8 RT π M Average or mean speed c mp = radicalbigg 2 k B T πm = radicalbigg 2 RT π M most probable speed Z 1 = √ 2 πd 2 c N V Collision frequency Z 11 = √ 2 2 πd 2 c parenleftBig N V parenrightBig 2 Binary collision frequency λ = 1 √ 2 πd 2 ( N/V ) Mean free path η = m c 3 √ 2 πd 2 Gas viscosity r 1 r 2 = radicalbigg M 2 M 1 Graham’s laws of diffusion and effusion N 2 N 1 = e − Δ E/k B T Boltzmann distribution law w =- integraldisplay pdV expansion work w =- nRT ln V 2 V 1 =- nRT ln P 1 P 2 work of isothermal, reversible ideal gas expansion Δ U = q + w First law of Thermodynamics dU = d ¯ q + d ¯ w First law of Thermodynamics H = U + PV Definition of Enthalpy C v = parenleftBig...
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This note was uploaded on 07/17/2008 for the course CHEM 520 taught by Professor Grandinetti during the Spring '08 term at Ohio State.

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FinalEquations.2008 - Equations ax 2 bx c = 0 and x = b ±...

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