Import Question JSON

Current Question (ID: 18260)

Question:

$\text{If hydrogen electrodes dipped in two solutions of pH} = 4 \text{ and pH} = 6 \text{ are connected by a salt bridge, the emf of the resulting cell is -}$

Options:

1. $0.177 \text{ V}$
2. $0.3 \text{ V}$
3. $0.118 \text{ V}$
4. $0.104 \text{ V}$

Solution:

$\text{The emf of the cell can be calculated using the Nernst equation:}$ $E = E^0 - \frac{0.059}{n} \log \frac{[\text{H}^+]}{[\text{H}^+]}$ $\text{For the given pH values, the concentration of } \text{H}^+ \text{ ions are:}$ $[\text{H}^+]_1 = 10^{-4}, [\text{H}^+]_2 = 10^{-6}$ $E = 0 - \frac{0.059}{1} \log \frac{10^{-4}}{10^{-6}}$ $= -0.059 \times (-2) = 0.118 \text{ V}$

Import JSON File

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
}