Import Question JSON

Current Question (ID: 8475)

Question:

$\text{A solution containing 2 g of TlOH in 2 litres of water has a pH of?}$ $\text{(Atomic wt of Tl = 204)}$

Options:

1. 11.65
2. 12.45
3. 3.35
4. 2.34

Solution:

$\text{Hint: Use } \text{pH} = -\log [\text{H}^+]$ $\text{Step 1: Find out } [\text{H}^+]$ $\text{For 2 g of TlOH dissolved in water to give 2 litre of solution}$ $[\text{TlOH}] = \frac{2}{221} \times \frac{1}{2} \text{M} = \frac{1}{221} \text{M}$ $\text{TlOH}_{(\text{aq})} \rightarrow \text{Tl}^+_{(\text{aq})} + \text{OH}^-_{(\text{aq})}$ $[\text{Tl}^+] = [\text{OH}^-] = \frac{1}{221} \text{M}$ $\text{Step 2: Calculate pH using hydroxide ion concentration}$ $K_w = [\text{H}^+][\text{OH}^-]$ $\frac{10^{-14}}{\frac{1}{221}} = [\text{H}^+]$ $[\text{H}^+] = 221 \times 10^{-14} \text{M}$ $\text{pH} = -\log [\text{H}^+]$ $= -\log [221 \times 10^{-14}] = 11.65$

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
}