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An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 is
Important : you should answer only the numeric value
Correct answer is '0.5'. Can you explain this answer?
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An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m...
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An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m...
→ products takes place in a batch reactor. The initial concentration of A is 1 M and the reaction rate constant is 0.1 M/s. The reactor volume is 10 L. Determine the time required to reduce the concentration of A to 0.5 M.
Solution:
The rate law for a zero order reaction is given by:
r = -k[A]^0 = -k
Since the reaction is isothermal, the rate of the reaction is constant throughout the reaction time. Therefore, the integrated rate law for a zero order reaction is:
[A]t = [A]0 - kt
where [A]t is the concentration of A at time t, [A]0 is the initial concentration of A, k is the rate constant, and t is the reaction time.
We need to find the time required to reduce the concentration of A to 0.5 M, which means that [A]t = 0.5 M.
Substituting the given values, we get:
0.5 = 1 - (0.1)t
Solving for t, we get:
t = (1 - 0.5) / 0.1 = 5 s
Therefore, it will take 5 seconds to reduce the concentration of A to 0.5 M in the given batch reactor.
Solution:
The rate law for a zero order reaction is given by:
r = -k[A]^0 = -k
Since the reaction is isothermal, the rate of the reaction is constant throughout the reaction time. Therefore, the integrated rate law for a zero order reaction is:
[A]t = [A]0 - kt
where [A]t is the concentration of A at time t, [A]0 is the initial concentration of A, k is the rate constant, and t is the reaction time.
We need to find the time required to reduce the concentration of A to 0.5 M, which means that [A]t = 0.5 M.
Substituting the given values, we get:
0.5 = 1 - (0.1)t
Solving for t, we get:
t = (1 - 0.5) / 0.1 = 5 s
Therefore, it will take 5 seconds to reduce the concentration of A to 0.5 M in the given batch reactor.
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An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer?
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An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer?.
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