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)
Practice Questions
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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/2
The half-life of a first-order reaction is given by the expression t1/2 = 0.693/k, where k is the rate constant.
Questions & Step-by-step Solutions
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Q
Q: 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)
Solution: The half-life of a first-order reaction is given by the expression t1/2 = 0.693/k, where k is the rate constant.
Steps: 5
Step 1: Understand that a first-order reaction means the rate of the reaction depends only on the concentration of one reactant.
Step 2: Know that the half-life (t1/2) is the time it takes for half of the reactant to be used up.
Step 3: Recognize that for first-order reactions, the half-life does not change with different starting amounts of the reactant.
Step 4: Learn the formula for the half-life of a first-order reaction, which is t1/2 = 0.693/k.
Step 5: Identify that 'k' in the formula is the rate constant, which is a specific value for each reaction.
