The rate of reaction will reduce by a factor of ½ when the concentration of A and B is doubled and halved respectively.
The reaction rate or rate of reaction is the rate at which a chemical reaction occurs, defined as proportional to the rise in product concentration per unit time and the reduction in reactant concentration per unit time. Chemists calculate reaction rates by initiating the reaction, evaluating the concentration of the product or reactant at various time points throughout the reaction, occasionally charting the concentration as a function of the time on a graph, and then computing the alteration in concentration per unit time. The rate of reaction may be calculated by calculating the amount of product created in a given amount of time. The time period used may be determined by the rate of the reaction.
Reaction:
[tex]A + 3B \rightarrow 2C + D[/tex]
Reaction rate is given as:
Rate = [tex]K [A][B]^2[/tex]
First order:
Rate (1) = [tex]K [A][B]^2[/tex]
When the concentrations of A and B is doubled and halved respectively:
Rate (2) = [tex]K [2A][B/2]^2[/tex]
Rate (2) = 2 [tex]\frac{K [A][B]^2}{4}[/tex]
Rate (2) = ½ [tex]K [A][B]^2[/tex]
Therefore, the rate of reaction will reduce by a factor of ½.
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