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Current Question (ID: 8384)

Question:

$\text{The addition of a small amount of argon at a constant volume will not affect the equilibrium of the following reaction:}$

Options:

1. $\text{H}_2\text{(g)}+\text{I}_2\text{(g)} \rightleftharpoons \text{2HI(g)}$
2. $\text{PCl}_5\text{(g)} \rightleftharpoons \text{PCl}_3\text{(g)}+\text{Cl}_2\text{(g)}$
3. $\text{N}_2\text{(g)}+\text{3H}_2\text{(g)} \rightleftharpoons \text{2NH}_3\text{(g)}$
4. $\text{The equilibrium will remain unaffected in all the three cases.}$

Solution:

$\text{Hint: Inert gas doesn't affect equilibrium at constant volume according to Le Chatelier's principle.}$ $\text{Explanation:}$ $\text{Step 1:}$ $\text{Le Chatelier's principle states that changes in the temperature, pressure, volume, or concentration of a system will result in predictable and opposing changes in the system in order to achieve a new equilibrium state.}$ $\text{The reactions are as follows:}$ $\text{H}_2\text{(g)} + \text{I}_2\text{(g)} \rightleftharpoons \text{2HI(g)}$ $\text{PCl}_5\text{(g)} \rightleftharpoons \text{PCl}_3\text{(g)} + \text{Cl}_2\text{(g)}$ $\text{N}_2\text{(g)} + \text{3H}_2\text{(g)} \rightleftharpoons \text{2NH}_3\text{(g)}$ $\text{Step 2:}$ $\text{When an inert gas like argon is added to a reaction mixture at constant volume:}$ $\text{1. The partial pressures of the reactants and products remain unchanged.}$ $\text{2. Although the total pressure increases, this does not affect the equilibrium because what matters is the partial pressure of each gas.}$ $\text{3. The equilibrium constant K for gas-phase reactions is expressed in terms of partial pressures or concentrations, which remain unaffected by the addition of an inert gas at constant volume.}$ $\text{4. According to Le Chatelier's principle, the equilibrium constant (K) remains unaffected by the addition of inert gas in constant volume.}$ $\text{Therefore, in all three cases (options 1, 2, and 3), the equilibrium remains unaffected by the addition of argon at constant volume.}$ $\text{Hence, option 4 is the correct answer.}$

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Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}