why 1/t represent k in iodine clock reaction

In the iodine clock reaction, the rate equation can be represented as follows:

Rate = k [Reactant1] [Reactant2]

Where [Reactant1] and [Reactant2] represent the concentrations of the reactants involved in the reaction, and k is the rate constant.

The rate constant, k, is a proportionality constant that determines the speed at which the reaction proceeds. It depends on various factors like temperature, catalyst, and the nature of the reactants.

Now, in the case of the iodine clock reaction, when the concentration of one of the reactants is kept constant, the rate of the reaction is inversely proportional to the concentration of the other reactant. This relationship can be expressed as:

Rate = k / [Reactant]

This equation shows that as [Reactant] increases, the rate of the reaction decreases, and vice versa.

To represent this relationship mathematically, we can use 1/[Reactant] instead of just [Reactant]. This allows us to directly relate the rate to a single variable, making it easier to analyze and compare the data.

Thus, 1/t represents the reciprocal of time, where t is the time taken for the reaction to occur. By plotting 1/t against the concentration of a reactant (typically one that is kept constant), the slope of the resulting graph is equal to the rate constant, k. This representation simplifies the analysis and determination of the rate constant in the iodine clock reaction.