Periodic Table/Tools/Chemical Kinetics

Chemical Kinetics Tool

Calculate concentrations over time using integrated rate laws for 0th, 1st, and 2nd order reactions. Determine half-lives, time to reach target concentrations, and activation energies via the Arrhenius equation.

Reaction Order:

Rate LawRate = k[A]

Integrated Law[A]ₜ = [A]₀ · e⁻ᵏᵗ

Half-Lifet₁/₂ = ln(2) / k ≈ 0.693 / k

Linear Plotln[A] vs t (slope = −k)

Rate Constant Unitss⁻¹

[A]₀ (initial conc.) (M)

k (rate constant) (s⁻¹)

t (time) (s)

[A]target (M)

Results

[A] at time t

0.3679

Half-Life

6.931

% Remaining

36.8%

Time to [A]target

6.931

[A]ₜ = 1 × e^(−0.1 × 10) = 0.3679 M
t₁/₂ = ln(2) / 0.1 = 6.931 s
Time to reach 0.5 M: 6.931 s (1.00 half-lives)