Kinetics

Question 1

[A]_t Direct & Linear

t_1/2

Law

Answer 1

Direct: [A]_t = -kt + [A]₀

Linear: [A]_t = -kt + [A]₀

t_1/2 = [A]₀/2k

rate = k[A]⁰

Question 2

[A]_t Direct & Linear

t_1/2

Law

Answer 2

Direct: [A]_t = [A]₀e^-kt

Linear: ln[A] = -kt + ln[A]⁰

Half Life: t_1/2 = ln2/k

Law: rate = k[A]¹

Question 3

[A]_t Direct & Linear

t_1/2

Law

Answer 3

Direct: [A]t = [1/[A]₀ + kt]^-1

Linear: 1/[A]_t = kt + 1/[A]₀

Half life: t_1/2 = 1/[A]₀k

Law: rate = k[A]²

Question 4

Arrhenius Equation

E_a is the activation energy (J/mol)

R is the gas constant (8.314 J/k.mol)

T is the absolute temperature (deg K)

Answer 4

k = A.e^(-E_a/RT)

Question 5

k = A.e^(-E_a/RT)

Answer 5

lnk = -(E_a/R).1/T + lnA

y = mx + b