Integrated Rate Law

Units of the Rate Constant (k)

M^1-n⋅t^-1

Units of k for Zero Order

M^1⋅t^-1

Units of k for First Order

M^0⋅t^-1

Units of k for Second Order

M^-1⋅t^-1

Half Life for Zero Order

t1/2 = [A]°/2k

Half Life for First Order

t1/2 = ln2/k

Half Life for Second Order

t1/2 = 1/k⋅[A]°

IRL Equation for Zero Order

[A]f = -k⋅t + [A]°

IRL Equation for First Order

ln[A]f = -k⋅t + ln[A]°

IRL Equation for Second Order

1/[A]f = k⋅t + 1/[A]°

IRL Graph for Zero Order

IRL Graph for First Order

IRL Graph for Second Rate Law

Nth Order Reaction Equation

t1/2 = 1/k(n-1)⋅2^(n-1)-1/[A]°^(n-1)