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The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?
- a)108.3s-1
- b)207.9s-1
- c)248.2s-1
- d)164.8s-1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The rate constant of a reaction is 0.01s-1, how much time does it take...
Given,
K = 0.01s-1
t1/2 = 0.693/0.01
t1/2 = 69.3s
[R] = [R]0/2n
2n = [R]0/[R]
2n = 2.4/0.3
2n = 8
n = 3 (number of half-lives)
For 1 half-life t1/2 = 69.3s
For 3 half-life 3t1/2 = 3 x 69.3s = 207.9s.
K = 0.01s-1
t1/2 = 0.693/0.01
t1/2 = 69.3s
[R] = [R]0/2n
2n = [R]0/[R]
2n = 2.4/0.3
2n = 8
n = 3 (number of half-lives)
For 1 half-life t1/2 = 69.3s
For 3 half-life 3t1/2 = 3 x 69.3s = 207.9s.
Most Upvoted Answer
The rate constant of a reaction is 0.01s-1, how much time does it take...
To determine the time it takes for the reactant concentration to decrease from 2.4 mol L-1 to 0.3 mol L-1, we can use the first-order rate equation:
ln([A]t/[A]0) = -kt
Where:
[A]t is the concentration at time t
[A]0 is the initial concentration
k is the rate constant
t is the time
We can rearrange the equation to solve for t:
t = -ln([A]t/[A]0)/k
Given:
[A]t = 0.3 mol L-1
[A]0 = 2.4 mol L-1
k = 0.01 s-1
Substituting the values into the equation:
t = -ln(0.3/2.4)/0.01
Calculating the natural logarithm:
t = -ln(0.125)/0.01
Using a calculator:
t ≈ 207.9 s
Therefore, it takes approximately 207.9 seconds for the reactant concentration to decrease from 2.4 mol L-1 to 0.3 mol L-1. The correct answer is option B.
ln([A]t/[A]0) = -kt
Where:
[A]t is the concentration at time t
[A]0 is the initial concentration
k is the rate constant
t is the time
We can rearrange the equation to solve for t:
t = -ln([A]t/[A]0)/k
Given:
[A]t = 0.3 mol L-1
[A]0 = 2.4 mol L-1
k = 0.01 s-1
Substituting the values into the equation:
t = -ln(0.3/2.4)/0.01
Calculating the natural logarithm:
t = -ln(0.125)/0.01
Using a calculator:
t ≈ 207.9 s
Therefore, it takes approximately 207.9 seconds for the reactant concentration to decrease from 2.4 mol L-1 to 0.3 mol L-1. The correct answer is option B.
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Community Answer
The rate constant of a reaction is 0.01s-1, how much time does it take...
Given,
K = 0.01s-1
t1/2 = 0.693/0.01
t1/2 = 69.3s
[R] = [R]0/2n
2n = [R]0/[R]
2n = 2.4/0.3
2n = 8
n = 3 (number of half-lives)
For 1 half-life t1/2 = 69.3s
For 3 half-life 3t1/2 = 3 x 69.3s = 207.9s.
K = 0.01s-1
t1/2 = 0.693/0.01
t1/2 = 69.3s
[R] = [R]0/2n
2n = [R]0/[R]
2n = 2.4/0.3
2n = 8
n = 3 (number of half-lives)
For 1 half-life t1/2 = 69.3s
For 3 half-life 3t1/2 = 3 x 69.3s = 207.9s.
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The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer? for Chemistry 2025 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer?.
The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer? for Chemistry 2025 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rate constant of a reaction is 0.01s-1, how much time does it take for 2.4 mol L-1 concentration of reactant reduced to 0.3 mol L-1?a)108.3s-1b)207.9s-1c)248.2s-1d)164.8s-1Correct answer is option 'B'. Can you explain this answer?.
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