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Date: 22-9-2018
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For most chemical reactions, the rate of the reaction tends to decrease as time passes (Figure 1.1 “Reactant Concentration vs. Time“). As the reaction proceeds, more and more of the reactant molecules are consumed to become product, which lowers the concentration of reactant molecules. The reduction in reactant concentration results in fewer effective collisions.
The decrease in reaction rate over time means that average reaction rates do not accurately represent the actual rate of reaction at all time points. Instantaneous reaction rates, the rate of reaction at one instant in time, can be determined from the slope of the tangent at that point in the plot of concentration vs. time. The instantaneous rate at the start of the reaction, t = 0, is of particular interest in kinetics and is known as the initial rate of the reaction.
Figure 1.1 Reactant Concentration vs. Time
A plot of reactant concentration vs. time for a hypothetical reaction.
Example 2
Use Figure 1.1 to determine the instantaneous rate at 3 h.
Solution
The slope of the tangent at 3 h can be determined by drawing a triangle such as the one shown in Figure 1.1, and comparing the ratio of the height of the rise to the run of the length.
Slope = [latex] frac{Rise}{Run} [/latex] = – [latex] frac{ Delta [Reactant]}{Delta t} [/latex] = – [latex] frac{4.5-6.5 M}{4-2 h} [/latex] = – [latex] frac{- 2 M}{2 h} [/latex] = 1 [latex] frac{M}{h} [/latex]
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