The half-life of a first-order reaction is independent of the initial concentrat
Practice Questions
Q1
The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life (t₁/₂)? (2022)
t₁/₂ = 0.693/k
t₁/₂ = k/0.693
t₁/₂ = 1/k
t₁/₂ = k/1
Questions & Step-by-Step Solutions
The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life (t₁/₂)? (2022)
Step 1: Understand what a first-order reaction is. In a first-order reaction, the rate of the reaction depends only on the concentration of one reactant.
Step 2: Learn about half-life. The half-life (t₁/₂) is the time it takes for half of the reactant to be consumed.
Step 3: Recognize that for first-order reactions, the half-life does not depend on the initial concentration of the reactant.
Step 4: Know the formula for the half-life of a first-order reaction, which is t₁/₂ = 0.693/k, where k is the rate constant.
Step 5: Remember that 0.693 is derived from the natural logarithm of 2 (ln(2)), which is used in the calculation of half-life.
