the first order chemical reaction

A first-order reaction is a reaction that proceeds at a rate that depends linearly on only one reactant concentration. Its rate law can be written as:

Rate = k[A]

where:

• Rate is the speed at which the reaction proceeds.
• k is the rate constant for the reaction.
• [A] is the concentration of a reactant.

The integrated rate law for a first-order reaction is:

ln([A]0/[A]) = kt

where:

• [A]0 is the initial concentration of the reactant.
• [A] is the concentration of the reactant at time t.
• k is the rate constant.
• t is the time.

The half-life of a first-order reaction, which is the time it takes for half of the reactant to be consumed, is independent of the initial concentration and can be calculated as:

t1/2 = 0.693/k

where:

• t1/2 is the half-life of the reaction.
• k is the rate constant.