Final answer:
To relate the rates of consumption of Reaction Rates and formation of products in chemistry, use stoichiometry based on the balanced chemical equation and account for the changes in concentration of the substances over time.
Step-by-step explanation:
When writing equations that relate the rates of consumption of reactants to the rates of formation of products in a chemical reaction, one must understand the concept of the reaction rate and stoichiometry. For a balanced chemical reaction, the rate at which the reactants are consumed is proportional to the rate at which products are formed, based on the coefficients in the balanced equation.
Suppose we have a balanced equation:
aA + bB → cC + dD
The rate of consumption of A (rateA) and the rate of formation of C (rateC) can be written as:
rateA = -(1/a)(d[A]/dt)
rateC = (1/c)(d[C]/dt)
Here, d[A]/dt and d[C]/dt represent the changes in concentration of A and C over time, respectively. The negative sign indicates that the concentration of A is decreasing as it is being consumed. The rates for B and D can be similarly written. These equations demonstrate that for every a moles of A consumed, c moles of C are produced, preserving the stoichiometry of the reaction.