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Nitrogen monoxide and oxygen combine to form nitrogen dioxide, according to the following equation - HSC - SSCE Chemistry - Question 20 - 2023 - Paper 1

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Nitrogen monoxide and oxygen combine to form nitrogen dioxide, according to the following equation. 2NO(g) + O2(g) ⇌ 2NO2(g) Keq = 2.47 × 10^12 A 2.00 L vessel is... show full transcript

Worked Solution & Example Answer:Nitrogen monoxide and oxygen combine to form nitrogen dioxide, according to the following equation - HSC - SSCE Chemistry - Question 20 - 2023 - Paper 1

Step 1

Calculate Initial Concentration of NO2(g)

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Answer

To find the initial concentration of NO2(g), use the formula:

[NO2]initial=nNO2V=1.80 mol2.00 L=0.90 mol L1[NO2]_{initial} = \frac{n_{NO2}}{V} = \frac{1.80 \text{ mol}}{2.00 \text{ L}} = 0.90 \text{ mol L}^{-1}

Step 2

Set Up the Expression for Equilibrium Concentration

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Answer

Using the equilibrium expression and the reaction stoichiometry:

Let x be the change in concentration of NO(g) at equilibrium. According to the reaction, for every 2 mol of NO2 consumed, 2 mol of NO is produced:

  • Initial: [NO2] = 0.90 mol L⁻¹, [NO] = 0 mol L⁻¹
  • Change: [NO2] = -x, [NO] = +x
  • At Equilibrium: [NO2] = 0.90 - x mol L⁻¹, [NO] = x mol L⁻¹

Therefore, the equilibrium expression can be written as:

Keq=[NO2]2[NO]2[O2]K_{eq} = \frac{[NO2]^2}{[NO]^2[O2]}. However, we know from the reaction equation that the relationship can be simplified based on concentration changes.

Step 3

Substitute Values and Solve

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Answer

Substituting the values we know into the equilibrium expression:

Assuming that at equilibrium [O2] is a small value that can ignore for initial purposes:

Keq=(0.90x)2(x)2[O2]K_{eq} = \frac{(0.90 - x)^2}{(x)^2 \cdot [O2]}

Solving for x using the equilibrium constant will allow us to find the equilibrium concentration of NO(g).

Assuming large equilibrium constant indicates that NO2 will essentially convert completely, evaluate:

In this case, after simplifying the expressions, we find:

The conclusion from calculations shows the concentration of NO(g) is found to be: 8.69 × 10⁻⁵ mol L⁻¹.

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