Shown is a concentration versus time plot for a reaction involving gases A,B,and C.
-Over the time interval 300 to 400 seconds,the rate of reaction with respect to A is Δ[A]/Δt = 3.7 × 10^-5 M/s.Over the same time interval what is the rate of reaction with respect to B,Δ[B]/Δt?

Question

Shown is a concentration versus time plot for a reaction involving gases A,B,and C.

-Over the time interval 300 to 400 seconds,the rate of reaction with respect to A is Δ[A]/Δt = 3.7 × 10^-5 M/s.Over the same time interval what is the rate of reaction with respect to B,Δ[B]/Δt?

Quizplus · Accepted Answer

According to the Law of Mass Action, the rate of a chemical reaction is directly proportional to the concentrations of the reactants involved. Therefore, if the rate of reaction with respect to A is known, the rate of reaction with respect to B can be determined using the stoichiometry of the reaction. From the plot, it appears that the reaction involves 1 mole of A and 4 moles of B. Therefore, the rate of reaction with respect to B can be calculated as (1/4)(Δ[A]/Δt). Substituting the given value for Δ[A]/Δt, we get Δ[B]/Δt = (1/4)(3.7 × 10^-5 M/s) = 9.2 × 10^-6 M/s. Therefore, the best choice is B.

Shown Is a Concentration Versus Time Plot for a Reaction