Chlorite is reduced by bromide in acidic solution according to the following balanced equation: ClO2 -1aq2 + 4 Br-1aq2 + 4 H+1aq2S Cl-1aq2 + 2 Br21aq2 + 2 H2O1l2 (a) If Δ3Br24>Δt = 4.8 * 10-6 M>s, what is the value of Δ3ClO2 -4>Δt during the same time interval?

Verified step by step guidance

1. Identify the stoichiometry of the reactants in the balanced chemical equation. For every 1 mole of ClO2-, 4 moles of Br- are required.
2. Determine the rate of consumption of Br- from the given rate of formation of Br2. Since 2 moles of Br- produce 1 mole of Br2, the rate of consumption of Br- is twice the rate of formation of Br2.
3. Apply the stoichiometric relationship between ClO2- and Br- to find the rate of consumption of ClO2-. Since 4 moles of Br- correspond to 1 mole of ClO2-, divide the rate of consumption of Br- by 4 to find the rate of consumption of ClO2-.
4. Express the rate of consumption of ClO2- with the correct sign, as it is being consumed in the reaction. The rate should be negative, indicating a decrease in concentration over time.
5. Ensure the units of the rate of consumption of ClO2- are consistent with the units given for the rate of formation of Br2, which is M/s (molarity per second).

Key Concepts

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows us to determine how much of each substance is consumed or produced based on the balanced chemical equation. In this case, understanding the stoichiometric coefficients of ClO2 and Br- in the reaction is essential to relate their rates of change.

Rate of Reaction

The rate of reaction refers to the speed at which reactants are converted into products in a chemical reaction. It is typically expressed as the change in concentration of a reactant or product over time. In this question, the rate of change of bromide (Δ[Br-]/Δt) is given, and we need to use stoichiometry to find the corresponding rate of change for chlorite (Δ[ClO2-]/Δt).

Concentration and Molarity

Concentration is a measure of the amount of a substance in a given volume of solution, commonly expressed in molarity (M), which is moles of solute per liter of solution. Understanding how to manipulate and convert concentrations is crucial for calculating the rates of change in this reaction. The given rate for bromide will help us determine the rate for chlorite by applying the stoichiometric ratios from the balanced equation.