The rate constant of the reaction A→B is 0.6×10−3 mole per litre per second. If the concentration of A is 5 M, then concentration of B after 20 minutes is:
Question
The rate constant of the reaction A→B is 0.6×10−3 mole per litre per second. If the concentration of A is 5 M, then concentration of B after 20 minutes is:
Solution
The reaction A→B is a first order reaction, as it only involves one reactant. The rate of a first order reaction is given by the equation:
rate = k[A]
where k is the rate constant and [A] is the concentration of A.
Given that k = 0.6×10−3 mole per litre per second and [A] = 5 M, we can substitute these values into the equation to find the rate:
rate = (0.6×10−3 mole/litre/second) * 5 M = 3×10−3 mole/litre/second
The rate of the reaction is the change in concentration of B per unit time. Therefore, the concentration of B after t seconds is given by:
[B] = rate * t
We are asked to find the concentration of B after 20 minutes. First, we need to convert 20 minutes to seconds:
20 minutes = 20 * 60 = 1200 seconds
Then we can substitute the values of the rate and t into the equation to find [B]:
[B] = (3×10−3 mole/litre/second) * 1200 seconds = 3.6 mole/litre
Therefore, the concentration of B after 20 minutes is 3.6 M.
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