Chemistry 9701 · AS & A Level · Reaction kinetics

Reaction kinetics — practice question

The reaction rate for $\text{H}_2(g) + \text{I}_2(g) \rightleftharpoons \text{2HI}(g)$ is investigated.
(a)

A small quantity of $\text{H}_2(g)$ is combined with a large excess of $\text{I}_2(g)$ at $400\,\text{K}$, and the reaction is followed. The graph produced is shown.

(a(i))[1]

Suggest why a large excess of $\text{I}_2(g)$ is chosen for this experiment.

(a(ii))[2]

The reaction is first order with respect to $\text{H}_2(g)$. Use graph data to support this claim.

(b)

At $400\,\text{K}$, three separate experiments were done using different starting concentrations of $\text{H}_2(g)$ and $\text{I}_2(g)$. The results are given in the table.

(b(i))[3]

Use the data, together with the order of reaction with respect to $\text{H}_2(g)$ stated in (a)(ii), to deduce the order of reaction with respect to $\text{I}_2(g)$. Explain your reasoning, and support it with data.

(b(ii))[1]

Use information from (a)(ii) together with your answer to (b)(i) to write the rate equation for the forward reaction.

(b(iii))[2]

Use your rate equation together with the data from experiment $1$ to calculate the value of the rate constant, $k$, for the forward reaction at $400\,\text{K}$. Include the units for $k$.

(c)

At $400\,\text{K}$, the forward reaction rate constant is about $1000$ times larger than the backward reaction rate constant. The total orders of the forward and backward reactions are identical. Forward reaction: $\text{H}_2(g) + \text{I}_2(g) \rightarrow \text{2HI}(g)$ Backward reaction: $\text{2HI}(g) \rightarrow \text{H}_2(g) + \text{I}_2(g)$

(c(i))[1]

Use this information to explain what happens if equal concentrations of $\text{HI}(g)$, $\text{H}_2(g)$ and $\text{I}_2(g)$ are mixed at $400\,\text{K}$. You should comment on: - the relative initial rates of the forward and backward reactions - where the equilibrium lies.

(c(ii))[2]

At $700\,\text{K}$, the rate constant for the forward reaction is approximately $50$ times greater than the rate constant for the backward reaction. Use this information together with the information in (c)(i) to deduce the signs of the $\Delta H$ values for the forward and backward reactions. Explain your answer.

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