1. Write the reaction rate expressions for the following reactions in terms of the disappearance of the reactants and the appearance of products: (6 points) a. H2(g) + I2(g) → 2HI(g) b. 5Br–(aq) + BrO3–(aq) + 6H+(aq) → 3Br2(aq) + 3H2O(l)

Respuesta :

Answer: The expressions are written below.

Explanation:

The rate of reaction is defined as the change in the concentration of any one of the reactants or products per unit time. For the general reaction:

[tex]rR\rightarrow pP[/tex]

Expression for the rate of reaction is given as:

[tex]\text{Rate of reaction}=\frac{\text{Decrease in the concentration of a reactant R}}{\text{Time interval}}[/tex]

Or,

[tex]\text{Rate of reaction}=\frac{\text{Increase in the concentration of a product P}}{\text{Time interval}}[/tex]

Thus,

[tex]\text{Rate of reaction}=-\frac{1}{r}\frac{\Delta [R]}{\Delta t}=+\frac{1}{p}\frac{\Delta [P]}{\Delta t}[/tex]

  • For a:

The given chemical reaction follows:

[tex]H_2(g)+I_2(g)\rightarrow 2HI(g)[/tex]

Rate of the reaction for disappearance of [tex]H_2\text{ and }I_2[/tex] is given as:

[tex]\text{Rate of disappearance of }H_2=-\frac{\Delta [H_2]}{\Delta t}[/tex]

[tex]\text{Rate of disappearance of }I_2=-\frac{\Delta [I_2]}{\Delta t}[/tex]

Rate of the reaction for appearance of [tex]HI[/tex] is given as:

[tex]\text{Rate of appearance of HI}=+\frac{1}{2} \frac{\Delta [HI]}{\Delta t}[/tex]

  • For b:

The given chemical reaction follows:

[tex]5Br^-(aq.)+BrO_3^{-}(aq.)+6H^+(aq.)\rightarrow 3Br_2(aq.)+3H_2O(l)[/tex]

Rate of the reaction for disappearance of [tex]Br^-,BrO_3^-\text{ and }H^+[/tex] is given as:

[tex]\text{Rate of disappearance of }Br^-=-\frac{1}{5} \frac{\Delta [Br^-]}{\Delta t}[/tex]

[tex]\text{Rate of disappearance of }BrO_3^-=-\frac{\Delta [BrO_3^-]}{\Delta t}[/tex]

[tex]\text{Rate of disappearance of }H^+=-\frac{1}{6} \frac{\Delta [H^+]}{\Delta t}[/tex]

Rate of the reaction for appearance of [tex]Br_2\text{ and }H_2O[/tex] is given as:

[tex]\text{Rate of appearance of }Br_2=+\frac{1}{3} \frac{\Delta [Br_2]}{\Delta t}[/tex]

[tex]\text{Rate of appearance of }H_2O=+\frac{1}{3} \frac{\Delta [H_2O]}{\Delta t}[/tex]

Hence, the expressions are given above.

The reaction rate expressions for the given reactions are:

r = -Δ[H₂(g)] / Δt = -Δ[I₂(g)] / Δt = Δ[HI(g)] / 2 Δt

r = -Δ[Br⁻(aq)] / 5 Δt = -Δ[BrO₃⁻(aq)] / Δt = -Δ[H⁺(aq)] / 6 Δt = Δ[Br₂(aq)] / 3Δt = Δ[H₂O(l)] / 3 Δt

What is the reaction rate?

The reaction rate is the speed at which a chemical reaction takes place, defined as proportional to the increase in the concentration of a product per unit time and to the decrease in the concentration of a reactant per unit time.

To write the reaction rate expression, we have to:

  1. Express the change in the concentration of the species over time.
  2. Add a negative sign if the species is a reactant.
  3. Divide by the stoichiometric coefficient of the species.

a. H₂(g) + I₂(g) → 2 HI(g)

r = -Δ[H₂(g)] / Δt = -Δ[I₂(g)] / Δt = Δ[HI(g)] / 2 Δt

b. 5 Br⁻(aq) + BrO₃⁻(aq) + 6 H⁺(aq) → 3 Br₂(aq) + 3 H₂O(l)

r = -Δ[Br⁻(aq)] / 5 Δt = -Δ[BrO₃⁻(aq)] / Δt = -Δ[H⁺(aq)] / 6 Δt = Δ[Br₂(aq)] / 3Δt = Δ[H₂O(l)] / 3 Δt

The reaction rate expressions for the given reactions are:

r = -Δ[H₂(g)] / Δt = -Δ[I₂(g)] / Δt = Δ[HI(g)] / 2 Δt

r = -Δ[Br⁻(aq)] / 5 Δt = -Δ[BrO₃⁻(aq)] / Δt = -Δ[H⁺(aq)] / 6 Δt = Δ[Br₂(aq)] / 3Δt = Δ[H₂O(l)] / 3 Δt

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