Kinetics Calculator (First-Order Half-Life)
What is chemical kinetics?
Chemical kinetics is the branch of chemistry that studies the speed (rate) of reactions and the mechanism of reactions. In simple words – kinetics describes how fast or slow a reaction is and how it proceeds.
What is reaction rate?
Reaction rate means the change in the concentration of a reactant or product with time.
\[
\text{Rate} = -\frac{\Delta [\text{Reactant}]}{\Delta t} = \frac{\Delta [\text{Product}]}{\Delta t}
\]
Meaning if the reactant is decreasing or the product is increasing, then we can calculate its rate.
Factors affecting reaction rate.
1.Concentration:
Higher concentration → more collisions → faster reaction.
2.Temperature:
As temperature increases, the energy in the molecules increases → the reaction is faster.
3.Catalyst:
Catalyst speeds up the reaction, but is not consumed.
4.Surface Area:
Finely divided or powdered reactants have a larger surface area → the rate is faster.
5.Nature of Reactants:
Ionic reactions are fast, while covalent reactions are comparatively slow.
Units of Rate Constant (k)
| Reaction Order | Unit of k |
| Zero Order | mol L⁻¹ s⁻¹ |
| First Order | s⁻¹ |
| Second Order | L mol⁻¹ s⁻¹ |
Real Life Examples of Kinetics.
- To study the speed of food spoilage
- To check the reaction time of medicine.
- optimizing industrial reactions
- Enzyme-catalyzed biological reactions society
Example Problem:
Question: If in a first-order reaction the reactant is reduced by 50% in 30 min, what will be the rate constant?
Solution:
For first order,
\[
k = \frac{2.303}{t} \log \left( \frac{a}{a – x} \right)
\]
\[
k = \frac{2.303}{30} \log \left( \frac{1}{0.5} \right) = 0.0231 \, \text{min}^{-1}
\]
FAQs
Q1. What is the main purpose of kinetics?
Kinetics tells us the speed of a reaction and how it happens — that is, how fast or slow a reaction takes place.
Q2. What does the rate constant (k) depend on?
The rate constant depends on temperature and the presence of a catalyst, but not on concentration.
Q3. What is a zero-order reaction?
In a zero-order reaction, the rate does not depend on the concentration of the reactant.
Q4. How does a catalyst affect a reaction?
A catalyst lowers the activation energy, which makes the reaction faster.