Import Question JSON

Current Question (ID: 7372)

Question:

$\text{What is the ratio of the number of atoms in 2.2 g of CO}_2 \text{ and in 1.7 g of NH}_3\text{?}$

Options:

1. $\frac{1}{2}$
2. $\frac{1}{8}$
3. $\frac{3}{8}$
4. $\frac{3}{2}$

Solution:

$\text{Hint: Use mole concept and molar masses}$ $\text{Explanation:}$ $\text{Step1:}$ $\text{Number of atoms of CO}_2\text{= No. of moles} \times \text{Av. no.} \times \text{atomicity}$ $\text{Number of atoms in CO}_2 = \frac{2.2}{44} \times N_A \times 3$ $\text{Step 2:}$ $\text{Number of atoms of NH}_3\text{= No. of moles} \times \text{Av. no.} \times \text{atomicity}$ $\text{Number of atoms in NH}_3 = \frac{1.7}{17} \times N_A \times 4$ $\text{Step 3:}$ $\text{The ratio of the number of atoms in 2.2 g of CO}_2 \text{ and in 1.7 g of NH}_3 \text{ is:}$ $\frac{n_{\text{CO}_2}}{n_{\text{NH}_3}} = \frac{\frac{2.2}{44} \times 3 \times N_A}{\frac{1.7}{17} \times 4 \times N_A} = \frac{3}{8}$ $\text{Hence, option 3rd is the correct answer.}$

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
}