For each of the questions, four choices have been provided....

For each of the questions, four choices have been provided. Select the correct alternative. If $\mathrm{r}=\frac{-3}{2} \frac{\Delta[\mathrm{A}]}{\Delta \mathrm{t}}=\frac{-5}{2} \frac{\Delta[\mathrm{B}]}{\Delta \mathrm{t}}=\frac{+7}{3} \frac{[\Delta \mathrm{C}]}{\Delta \mathrm{t}}$, which of the following is the corresponding reaction? (a) $2 / 3 \mathrm{~A}+2 / 5 \mathrm{~B} \rightarrow 3 / 7 \mathrm{C}$ (b) $2 / 3 \mathrm{~A}+5 / 2 \mathrm{~B} \rightarrow 7 / 3 \mathrm{C}$ (c) $3 / 2 \mathrm{~A}+5 / 2 \mathrm{~B} \rightarrow 7 / 3 \mathrm{C}$ (d) $7 / 3 \mathrm{C}+5 / 2 \mathrm{~B} \rightarrow 3 / 2 \mathrm{~A}$

For each of the questions, four choices have been provided. Select the correct alternative.
If $\mathrm{r}=\frac{-3}{2} \frac{\Delta[\mathrm{A}]}{\Delta \mathrm{t}}=\frac{-5}{2} \frac{\Delta[\mathrm{B}]}{\Delta \mathrm{t}}=\frac{+7}{3} \frac{[\Delta \mathrm{C}]}{\Delta \mathrm{t}}$, which of
the following is the corresponding reaction?
(a) $2 / 3 \mathrm{~A}+2 / 5 \mathrm{~B} \rightarrow 3 / 7 \mathrm{C}$
(b) $2 / 3 \mathrm{~A}+5 / 2 \mathrm{~B} \rightarrow 7 / 3 \mathrm{C}$
(c) $3 / 2 \mathrm{~A}+5 / 2 \mathrm{~B} \rightarrow 7 / 3 \mathrm{C}$
(d) $7 / 3 \mathrm{C}+5 / 2 \mathrm{~B} \rightarrow 3 / 2 \mathrm{~A}$

Key Concepts

Chemical Reaction Rate

This concept involves measuring the speed at which a chemical reaction proceeds, normally expressed as the change in concentration of a reactant or product per unit time. Reaction rates are fundamental in kinetics and are directly associated with how fast a system converts reactants to products, with consumption of reactants typically represented by negative values and formation of products by positive values.

Stoichiometry

Stoichiometry refers to the quantitative relationship between reactants and products in a balanced chemical reaction. In the context of reaction rates, the stoichiometric coefficients indicate how the rates of change in the concentrations of different species relate to each other. This ensures that the reaction adheres to the law of conservation of mass, with the coefficients providing the mole ratios needed to equate the rates of consumption and production.

Rate Ratios and Coefficient Determination

In reactions where the rate of change for each species is given with different constants, comparing these expressions allows the determination of the relative stoichiometric coefficients. By equating different expressions for the overall reaction rate, one can deduce the correct proportions of reactants and products in the balanced chemical equation. This process is crucial for linking experimental rate data to the underlying stoichiometric relationship in the reaction.

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