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In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m?
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In a first order reaction 10 minutes are needed to change concentratio...
Given:
Initial concentration (C0) = 1.0 M
Final concentration (Ct) = 0.05 M
Time taken (t) = 10 minutes
To find:
Time required to change concentration from 0.25 M to 0.125 M
Explanation:
The rate of a first-order reaction can be expressed by the equation:
ln(Ct/C0) = -kt
where Ct is the concentration at time t, C0 is the initial concentration, k is the rate constant, and t is the time.
Step 1: Finding the rate constant (k)
Using the given information, we can rearrange the equation as:
ln(Ct/C0) = -kt
ln(0.05/1.0) = -k * 10
-ln(0.05) = -10k
k = ln(0.05)/10
k ≈ -0.1054 min-1
Step 2: Finding the time required
Now, we can use the rate constant to find the time required for the concentration to change from 0.25 M to 0.125 M.
ln(Ct/C0) = -kt
ln(0.125/0.25) = -0.1054t
ln(0.5) = -0.1054t
t = ln(0.5)/-0.1054
t ≈ 3.93 minutes
Answer:
The time required to change the concentration from 0.25 M to 0.125 M is approximately 3.93 minutes.
Initial concentration (C0) = 1.0 M
Final concentration (Ct) = 0.05 M
Time taken (t) = 10 minutes
To find:
Time required to change concentration from 0.25 M to 0.125 M
Explanation:
The rate of a first-order reaction can be expressed by the equation:
ln(Ct/C0) = -kt
where Ct is the concentration at time t, C0 is the initial concentration, k is the rate constant, and t is the time.
Step 1: Finding the rate constant (k)
Using the given information, we can rearrange the equation as:
ln(Ct/C0) = -kt
ln(0.05/1.0) = -k * 10
-ln(0.05) = -10k
k = ln(0.05)/10
k ≈ -0.1054 min-1
Step 2: Finding the time required
Now, we can use the rate constant to find the time required for the concentration to change from 0.25 M to 0.125 M.
ln(Ct/C0) = -kt
ln(0.125/0.25) = -0.1054t
ln(0.5) = -0.1054t
t = ln(0.5)/-0.1054
t ≈ 3.93 minutes
Answer:
The time required to change the concentration from 0.25 M to 0.125 M is approximately 3.93 minutes.
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In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m?
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In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m?.
In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a first order reaction 10 minutes are needed to change concentration 1.0m to 0.05m what time will be needed to change concentration 0.25 to 0.125m?.
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