What is the integrated rate equation for first order reaction?
Matthew Barrera
Updated on March 26, 2026
What is the integrated rate equation for first order reaction?
Zero-Order Reactions
| Zero-Order | First-Order | |
|---|---|---|
| rate law | rate = k | rate = k[A] |
| units of rate constant | M s-1 | s-1 |
| integrated rate law | [A] = –kt + [A]0 | ln [A] = –kt + ln[A]0 |
| plot needed for linear fit of rate data | [A] vs. t | ln [A] vs. t |
What is the integrated rate law equation?
An integrated rate law is an equation that expresses the concentrations of reactants or products as a function of time.
How do integrated rate laws determine reaction order?
We measure values for the initial rates of a reaction at different concentrations of the reactants. From these measurements, we determine the order of the reaction in each reactant. Integrated rate laws are determined by integration of the corresponding differential rate laws.
Which is correct for first order reaction?
t1/2∝C−1.
What is first order reaction?
Definition of first-order reaction : a chemical reaction in which the rate of reaction is directly proportional to the concentration of the reacting substance — compare order of a reaction.
What is first order reaction example?
First-order reactions are very common. We have already encountered two examples of first-order reactions: the hydrolysis of aspirin and the reaction of t-butyl bromide with water to give t-butanol. Another reaction that exhibits apparent first-order kinetics is the hydrolysis of the anticancer drug cisplatin.
How do you derive a first order reaction?
To test if it the reaction is a first-order reaction, plot the natural logarithm of a reactant concentration versus time and see whether the graph is linear. If the graph is linear and has a negative slope, the reaction must be a first-order reaction.
Which of the following is an example of first order reaction?
What is first order differential equation?
Definition 17.1.1 A first order differential equation is an equation of the form F(t,y,˙y)=0. A solution of a first order differential equation is a function f(t) that makes F(t,f(t),f′(t))=0 for every value of t. ◻ Here, F is a function of three variables which we label t, y, and ˙y.
