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Exam 4 Formula Sheet

# Exam 4 Formula Sheet - 4 2 k 2 R v Av N v PN P f m T M T π...

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List of equations Botlzmann’s constant (k) = 1.3806 × 10 -23 J K -1 = 8.617×10 −5 eV/K 1 Electronvolt (eV) = 1.602 ×10 −19 J 1 Debye (D) = 3.336 ×10 −30 C m electrical permittivity of vacuum ( ε 0 ) =8.854 ×10 −12 C 2 J -1 m -1 elementary charge (of an electron) =1.602×10 −19 C gravitational acceleration (g) = 9.80665 m·s −2 ideal gas constant ( R ) = 8.314 J mol -1 K -1 surface area of sphere = 4πr 2

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for monovalent ions at 25 C 1 (ln ) T d RT d c γ Γ = - ÷ 3 4 3 mic o hc R N v π =
a hg = 4 π R mic 2 N o G HP ( 29 =- [( n c - 1 )3 .0 - 9 .6] kJ / mo l G HG ( 29 =∆ G e l + N o a hg γ m ic , w 1 (ln ) T d RT d c γ Γ = - ÷ 1 d d d d 2 i i i G A n V σ σ σ γ μ σε = + + ÷ 2 cohesion sv w γ = 10 sublimation sv U γ = 6 sublimation sv U γ = 1 ads ads K P K P Θ = + exp 2 o Av ads ads N G K RT MRT ατ π = - ÷ 1 (ln )/ ads G d P d T R Θ = - ÷ ÷ , ads sv o G G P C x P RT - ∆ = ÷ : exp o mic No N G K RT - = ÷ ln mic G RT CMC = ( ) ( ) mic HP HG G G G = ∆ + ∆

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~ R k k Av PV n T nN T N T = = = 3k rms T v m = exp x
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Unformatted text preview: 4 2 k 2 R v Av N v PN P f m T M T π = = = ( 1) d cos d 2 C e C f A N θ + = Ω ln( / ) cv m c c o v R kT P P γ = ( 29 ( 29 2 2 cos 1 cos 4 Hetero c G G +-∆ = ∆ 2 ln( / ) cv m c c o av G kT P P πγ ∆ = 2 1 monolayer atom t fD = 2 2 1 k 2 2 atom v atom T D N D P Λ = = 8k T v m = 2 3 1 k 2 2 mv T = (1 )[1 ( 1) ) Cx x C x Θ =-+-γ sv Ω γ sv- γ sc = ∆-= T f N c s c k G exp τ γ sc = | γ sv – γ sc | 4 2 k 2 R v Av N v PN P f m T M T π = = = ( 1) d cos d 2 C e C f A N θ + = Ω ln( / ) cv m c c o v R kT P P γ = 2 ln( / ) cv m c c o av G kT P P πγ ∆ = 2 1 monolayer atom t fD =...
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