Import Question JSON

Current Question (ID: 20868)

Question:

$\text{If the density of } \text{NaOH solution is } 1.2 \text{ g cm}^{-3}, \text{ find the molality of this solution: (Round off to the nearest integer)}$ $\text{[Given: Atomic masses:}$ $\text{Na : 23.0 u; O : 16.0 u; H : 1.0 u]}$ $\text{[Density of } \text{H}_2\text{O} : 1.0 \text{ g cm}^{-3}]}$

Options:

1. $12 \text{ m}$
2. $18 \text{ m}$
3. $5 \text{ m}$
4. $3 \text{ m}$

Solution:

$\text{Hint: Molality } = \frac{W_{\text{solute}} \times 1000}{\text{GMM}_{\text{solute}} \times W_{\text{solvent}}}$ $\text{Let volume of solution is } x \text{ ml}$ $\text{So mass of solution } = 1.2x$ $\& \text{ mass of water (solvent) } = x \text{ gram}$ $\text{So mass of solute } = 0.2x \text{ gram}$ $\text{Molality } = \frac{W_{\text{solute}} \times 1000}{\text{GMM}_{\text{solute}} \times W_{\text{solvent}}} = \frac{0.2x \times 1000}{40 \times x} = \frac{200}{40} = 5 \text{ m}$

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
}