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Consider the following decomposition reaction that takes place in a sealed 2 dm³ container: $$2N_2O_5(g) \rightarrow 4NO_2(g) + O_2(g)$$ The graph below shows how the concentrations of $N_2O_5(g)$ and $NO_2(g)$ change with time - NSC Physical Sciences - Question 5 - 2023 - Paper 2

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Consider-the-following-decomposition-reaction-that-takes-place-in-a-sealed-2-dm³-container:--$$2N_2O_5(g)-\rightarrow-4NO_2(g)-+-O_2(g)$$--The-graph-below-shows-how-the-concentrations-of-$N_2O_5(g)$-and-$NO_2(g)$-change-with-time-NSC Physical Sciences-Question 5-2023-Paper 2.png

Consider the following decomposition reaction that takes place in a sealed 2 dm³ container: $$2N_2O_5(g) \rightarrow 4NO_2(g) + O_2(g)$$ The graph below shows how ... show full transcript

Worked Solution & Example Answer:Consider the following decomposition reaction that takes place in a sealed 2 dm³ container: $$2N_2O_5(g) \rightarrow 4NO_2(g) + O_2(g)$$ The graph below shows how the concentrations of $N_2O_5(g)$ and $NO_2(g)$ change with time - NSC Physical Sciences - Question 5 - 2023 - Paper 2

Step 1

Refer to the graph above and give a reason why curve A represents the change in the concentration of NO2(g).

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Answer

Curve A represents the concentration of NO2(g)NO_2(g) because it shows an increasing trend over time. As the decomposition of N2O5(g)N_2O_5(g) occurs, NO2(g)NO_2(g) is produced, leading to an increase in its concentration. This correlates with the stoichiometry of the reaction, where 4 moles of NO2(g)NO_2(g) are formed for every 2 moles of N2O5(g)N_2O_5(g) that decompose.

Step 2

Is this statement TRUE or FALSE? Give a reason for the answer.

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Answer

This statement is TRUE. According to the reaction stoichiometry, the rate of decomposition of N2O5(g)N_2O_5(g) is indeed half the rate of formation of NO2(g)NO_2(g). This is expressed mathematically as:

Rate of decomposition of N2O5=12×Rate of formation of NO2\text{Rate of decomposition of } N_2O_5 = \frac{1}{2} \times \text{Rate of formation of } NO_2

Given that the production of NO2(g)NO_2(g) occurs at a rate proportional to its stoichiometric coefficient (4 moles), while N2O5(g)N_2O_5(g) decomposes at a rate corresponding to its stoichiometric coefficient (2 moles), the relationship confirms the statement.

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