MCAT Chemistry Equations

Nernst Equation

Ecell=E�cell- (RT/nF) (lnQ)

Gibbs Free Energy (in relation to EMF)

?G=-nFEcell

Standard Electromotive Force

EMF=E�reduction-E�oxidation

Standard Conditions

25� C, 1 atm Pressure, 1 M concentrations, most stable form of each compound

Faraday's Constant

1 F=96487 J/V

Henderson-Hasselbach Equation

pH=pKa + log [conj. Base]/[weak acid]

Relation Between base and acid dissociation constants

Ka * Kb = Kw= 1E-14

Base dissociation Constant

Kb= [B?]*[OH?]/[BOH]

Acid dissociation constant

Ka=[H3O?]*[A?]/[HA]

Water dissociation constant

Kw=[H?]*[OH?]=1E-14; pH + pOH=14

pH

pH=-log([H?])=log(1/[H?])

Boyle's Law

P?V?=P?V?

Charles' Law

V?/T?=V?/T?

Avagadro's Principle

n?/V?=n?/V?

Ideal Gas Law

PV=nRT

Ideal Gas Constant

0.0821 L
atm/mol
k or 8.314 J/mol*K

Dalton's Law of Partial Pressures

P(total)=Pa+Pb+Pc+...
Pa=Xa*P(total)

Root Mean Square Speed

uRMS=?(3RT/MM), MM=molec mass

Graham's Law of Diffusion/Effusion

r1/r2=?(MM2/MM1)

Freezing Point Depression

?Tf=Kf*m; m=molality (moles/kg), Kf=freezing constant for solvent

Boiling point elevation

?Tb=Kb*m; m=molality (moles/kg), Kb= boiling constant for solven

Osmotic Pressure

?=MRT; M=molarity (moles/L)

Raoult's Law

?P=Xb
P�a; Pa=Xa
a*P�a, where P�a is the vapor pressure of pure a, Xa is the mole fraction of a.

Dilution

M?V?=M?V?

Heat absorbed or released

q=mc?T; where m is mass and c is specific heat

Enthalpy change

?Hreaction=Hproducts-Hreactants; where positive, endothermic rxn, negative, exothermic

Entropy change

?S=Sfinal-Sinitial; where positive, disorder increases, negative, order increases

Gibbs Free Energy

?G=?H-T?S, must be negative to be spontaneous