Import Question JSON

Current Question (ID: 20842)

Question:

$\text{Haemoglobin contains } 0.34\% \text{ of iron by mass. The number of Fe atoms in } 3.3 \text{ g of haemoglobin is:}$ $\left( \text{Given : Atomic mass of Fe is } 56u, N_A = 6.022 \times 10^{23} \text{ mol}^{-1} \right)$

Options:

1. $1.21 \times 10^5$
2. $12.0 \times 10^{16}$
3. $1.21 \times 10^{20}$
4. $3.4 \times 10^{22}$

Solution:

$\text{Hint: Use mole concept}$ $\text{According to the question,}$ $100 \text{ g of haemoglobin contains } 0.34 \text{ g of iron}$ $3.3 \text{ g of haemoglobin contains } \frac{0.34}{100} \times 3.3 \text{ g of iron}$ $\text{moles of Fe} = \frac{0.34 \times 3.3}{100 \times 56} = \frac{N}{N_A}$ $N = \frac{0.34 \times 3.3 \times 6.022 \times 10^{23}}{100 \times 56}$ $= 1.21 \times 10^{20}$

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
}