Import Question JSON

Current Question (ID: 7355)

Question:

$\text{The amount of copper (in grams) that can be obtained from 100 g of copper sulphate (CuSO}_4\text{) is:}$

Options:

1. $54.00$
2. $39.81$
3. $63.50$
4. $159.50$

Solution:

$\text{Hint: Use mole concept}$\n\n$\text{Step 1:}$\n\n$\text{Calculate the mass of Copper in one mole of CuSO}_4$\n\n$\text{1 mole of CuSO}_4 \text{ contains 1 mole of copper.}$\n\n$\text{Molar mass of CuSO}_4 = (63.5) + (32.00) + 4(16.00)$\n\n$= 63.5 + 32.00 + 64.00$\n\n$= 159.5 \text{ g}$\n\n$\text{159.5 g of CuSO}_4 \text{ contains 63.5 g of copper.}$\n\n$\text{Step 2:}$\n\n$\text{Find out the amount of Cu from 100 g CuSO}_4$\n\n$\Rightarrow 100 \text{ g of CuSO}_4 \text{ will contain } (63.5 \times 100\text{g})/(159.5) \text{ of copper.}$\n\n$\text{Amount of copper that can be obtained from 100 g CuSO}_4 = (63.5 \times 100)/(159.5) = 39.81 \text{ g}$

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
}