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In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is?
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In a first order reaction, the concentration of reactant decreases fro...
First Order Reaction:
A first-order reaction is a type of chemical reaction where the rate of reaction is directly proportional to the concentration of one reactant. This means that the rate of reaction decreases exponentially with time.
Rate Equation for a First Order Reaction:
The rate equation for a first-order reaction can be expressed as:
Rate = k[A]
where Rate is the rate of reaction, k is the rate constant, and [A] is the concentration of the reactant.
Given Information:
In this problem, the concentration of the reactant decreases from 400 mol L^-1 to 25 mol L^-1 in 200 seconds.
Determining the Rate Constant:
To determine the rate constant for the reaction, we can use the rate equation and the given information.
Using the initial concentration ([A]0 = 400 mol L^-1), final concentration ([A]t = 25 mol L^-1), and time (t = 200 s), we can rearrange the rate equation to solve for the rate constant (k):
Rate = k[A]
k = Rate / [A]
k = (ln([A]0) - ln([A]t)) / t
k = (ln(400) - ln(25)) / 200
k = (ln(16) - ln(1)) / 200
k = ln(16) / 200
k ≈ 0.038 s^-1
Therefore, the rate constant for the reaction is approximately 0.038 s^-1.
Conclusion:
In a first-order reaction, the rate constant can be determined by using the rate equation and the given concentrations and time. In this case, the rate constant was found to be approximately 0.038 s^-1.
A first-order reaction is a type of chemical reaction where the rate of reaction is directly proportional to the concentration of one reactant. This means that the rate of reaction decreases exponentially with time.
Rate Equation for a First Order Reaction:
The rate equation for a first-order reaction can be expressed as:
Rate = k[A]
where Rate is the rate of reaction, k is the rate constant, and [A] is the concentration of the reactant.
Given Information:
In this problem, the concentration of the reactant decreases from 400 mol L^-1 to 25 mol L^-1 in 200 seconds.
Determining the Rate Constant:
To determine the rate constant for the reaction, we can use the rate equation and the given information.
Using the initial concentration ([A]0 = 400 mol L^-1), final concentration ([A]t = 25 mol L^-1), and time (t = 200 s), we can rearrange the rate equation to solve for the rate constant (k):
Rate = k[A]
k = Rate / [A]
k = (ln([A]0) - ln([A]t)) / t
k = (ln(400) - ln(25)) / 200
k = (ln(16) - ln(1)) / 200
k = ln(16) / 200
k ≈ 0.038 s^-1
Therefore, the rate constant for the reaction is approximately 0.038 s^-1.
Conclusion:
In a first-order reaction, the rate constant can be determined by using the rate equation and the given concentrations and time. In this case, the rate constant was found to be approximately 0.038 s^-1.
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In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is?
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In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is?.
In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a first order reaction, the concentration of reactant decreases from 400 mol L ^ - 1 to 25 mol L ^ - 1 in 200 seconds. The rate constant for the reaction is?.
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