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Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:
- a)56.8 min
- b)170.4 min
- c)85.2 min
- d)227.2 min
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Sucrose is converted to a mixture of glucose and fructose in a pseudo ...
Given data:
Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process.
Halflife of reaction = 28.4 min
Initial concentration of sucrose, [sucrose]₀ = 8.0 mM
Final concentration of sucrose, [sucrose] = 1.0 mM
To find: Time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM
Calculation:
The given reaction is a pseudo first order reaction, which means it can be represented as:
Rate = k [sucrose]
where k is the rate constant of the reaction.
The halflife of the reaction is given as 28.4 min. This means that the concentration of sucrose will reduce to half its initial value in 28.4 min. Therefore, we can use the following equation to find the rate constant:
t1/2 = ln 2 / k
Substituting the given value of halflife in the above equation, we get:
28.4 = ln 2 / k
k = ln 2 / 28.4
Now, we can use the rate constant to find the time required for the concentration of sucrose to reduce from 8.0 mM to 1.0 mM. We can use the following equation for a first order reaction:
ln [sucrose]₀ / [sucrose] = kt
Substituting the given values in the above equation, we get:
ln 8.0 / 1.0 = (ln 2 / 28.4) t
t = (28.4 / ln 2) ln 8.0 / 1.0
t = 85.2 min
Therefore, the time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is 85.2 min. Hence, option (c) is the correct answer.
Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process.
Halflife of reaction = 28.4 min
Initial concentration of sucrose, [sucrose]₀ = 8.0 mM
Final concentration of sucrose, [sucrose] = 1.0 mM
To find: Time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM
Calculation:
The given reaction is a pseudo first order reaction, which means it can be represented as:
Rate = k [sucrose]
where k is the rate constant of the reaction.
The halflife of the reaction is given as 28.4 min. This means that the concentration of sucrose will reduce to half its initial value in 28.4 min. Therefore, we can use the following equation to find the rate constant:
t1/2 = ln 2 / k
Substituting the given value of halflife in the above equation, we get:
28.4 = ln 2 / k
k = ln 2 / 28.4
Now, we can use the rate constant to find the time required for the concentration of sucrose to reduce from 8.0 mM to 1.0 mM. We can use the following equation for a first order reaction:
ln [sucrose]₀ / [sucrose] = kt
Substituting the given values in the above equation, we get:
ln 8.0 / 1.0 = (ln 2 / 28.4) t
t = (28.4 / ln 2) ln 8.0 / 1.0
t = 85.2 min
Therefore, the time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is 85.2 min. Hence, option (c) is the correct answer.
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Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. 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 Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. Can you explain this answer?.
Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. 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 Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a half˜life of 28.4 min. The time required for the reduction of a 8.0 mM sample of sucrose to 1.0 mM is:a)56.8 minb)170.4 minc)85.2 mind)227.2 minCorrect answer is option 'C'. Can you explain this answer?.
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