In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?
Practice Questions
1 question
Q1
In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?
5 minutes
10 minutes
20 minutes
It cannot be determined
For first-order reactions, the half-life is independent of concentration but depends on the rate constant, which increases with temperature. Typically, the half-life will decrease, but the exact value requires the Arrhenius equation.
Questions & Step-by-step Solutions
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Q
Q: In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?
Solution: For first-order reactions, the half-life is independent of concentration but depends on the rate constant, which increases with temperature. Typically, the half-life will decrease, but the exact value requires the Arrhenius equation.
Steps: 6
Step 1: Understand that a first-order reaction has a half-life that is independent of the concentration of reactants.
Step 2: Know that the half-life depends on the rate constant (k) of the reaction.
Step 3: Recognize that the rate constant (k) increases when the temperature increases.
Step 4: Remember that for first-order reactions, as the rate constant increases, the half-life decreases.
Step 5: Understand that doubling the temperature will likely increase the rate constant significantly, thus decreasing the half-life.
Step 6: To find the exact new half-life, you would need to use the Arrhenius equation, but we know it will be less than 10 minutes.
