Import Question JSON

Current Question (ID: 7436)

Question:

$\text{A partially dried clay mineral contains 8\% water. The original sample contained 12\% water and 45\% silica. The percentage of silica in the partially dried sample is nearly:}$

Options:

1. $50\%$
2. $49\%$
3. $55\%$
4. $47\%$

Solution:

$\text{Let's assume the original sample has a mass of 100g:}$ $\text{Original sample:}$ $\text{Water = 12g, Silica = 45g, Other materials = 43g}$ $\text{During partial drying, only water is removed. The amounts of silica and other materials remain constant.}$ $\text{Let the mass of partially dried sample be 'x' grams.}$ $\text{In the partially dried sample:}$ $\text{Water = 8\% of x = 0.08x}$ $\text{Silica = 45g (unchanged)}$ $\text{Other materials = 43g (unchanged)}$ $\text{Total mass: } 0.08x + 45 + 43 = x$ $0.08x + 88 = x$ $88 = x - 0.08x = 0.92x$ $x = \frac{88}{0.92} = 95.65\text{g}$ $\text{Percentage of silica in partially dried sample} = \frac{45}{95.65} \times 100 = 47.05\%$ $\text{Therefore, the percentage of silica is nearly 47\%.}$

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
}