Kinetics

Half-life Equation for First Order

t (1/2) = 0.693/k

integrated first-order rate law

ln[A] = -kt + ln[A]0

integrated second-order rate law

1/[A] = kt + 1/[A]0

half-life of a second-order reaction

t(1/2) = 1/k[A]0

integrated rate law for a zero-order reaction

[A] = -kt + [A]0

half-life of a zero-order reaction

t (1/2) = [A]0/2k

Beer - Lambert Law (and what variables represent)

A = εbc

A - Absorbance

ε - A Constant

b - Path Length - Distance light passes through solution

c - Concentration of the solution (M)

Arrhenius Equation for Two Temperatures

ln(k2/k1) = Ea/R (1/T1 - 1/T2)

Arrhenius Equation

k = Ae^(-Ea/RT)

Arrhenius Equation with log

ln(k) = ln(A) - Ea/RT

When does the slope represent -Ea/R

When graph plotting ln(k) versus 1/T (Arrhenius Equation Graph)

Units for K in Zero Order

M/s

Units for K in First Order

1/s

Units for K in Second Order

1/(M·s)