Import Question JSON

Current Question (ID: 18164)

Question:

$\text{The pressure of } \text{H}_2 \text{ required to make the potential of H}_2 \text{ - electrode zero in pure water at } 298 \text{ K is:}$

Options:

1. $10^{-12} \text{ atm}$
2. $10^{-10} \text{ atm}$
3. $10^{-4} \text{ atm}$
4. $10^{-14} \text{ atm}$

Solution:

$\text{HINT: } E = E^\circ - \frac{0.0591}{2} \log \frac{P_{\text{H}_2}}{[\text{H}^+]^2}$ $\text{Explanation:}$ $\text{STEP 1:}$ $\text{Given that,}$ $2 \text{H}^+ + 2e^- \rightarrow \text{H}_2 (g)$ $\text{STEP 2: According to Nernst equation,}$ $E = E^\circ - \frac{0.0591}{2} \log \frac{P_{\text{H}_2}}{[\text{H}^+]^2}$ $= 0 - \frac{0.0591}{2} \log \frac{P_{\text{H}_2}}{[10^{-7}]^2}$ $\text{If } P_{\text{H}_2} = 10^{-14} \text{ then electrode potential will be zero.}$

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Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

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
}