Question
For the reaction A → B, deduce the integrated form of rate law. What will be the nature of the curve when concentration is plotted against time for such reaction?
Solution
For the reaction: A → B.
Let a is the initial concentration of A in g moles L–1 and (a – x) is the concentration in g moles L–1 after time t, then according to law of mass action
Rate of reaction (a - x)
Integrating the above equation, we get
when
or
or
or
Changing natural log to base 10, we get
Nature of the curve: Hypothetical variation of conc. of reactant [R] and product [P] during the course of reaction.
Fig. Instantaneous and average rate of a reaction.