The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the formula for the half-life (t1/2) of a first-order reaction? (2020)
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 formula for the half-life (t1/2) of a first-order reaction? (2020)
t1/2 = 0.693/k
t1/2 = k/0.693
t1/2 = 1/k
t1/2 = k/1
The half-life of a first-order reaction is given by the formula 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 formula for the half-life (t1/2) of a first-order reaction? (2020)
Solution: The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.
Steps: 5
Step 1: Understand what half-life means. Half-life is the time it takes for half of a substance to react or decay.
Step 2: Know that a first-order reaction means the rate of reaction depends on the concentration of one reactant.
Step 3: Learn that for first-order reactions, the half-life does not change with different starting amounts of the reactant.
Step 4: The formula for the half-life of a first-order reaction is t1/2 = 0.693/k.
Step 5: In this formula, 'k' is the rate constant, which is a value that represents how fast the reaction occurs.
