Import Question JSON

Current Question (ID: 7371)

Question:

$\text{The maximum number of water molecules among the following is:}$

Options:

1. $18 \text{ mL of water}$
2. $0.18 \text{ g of water}$
3. $0.00224 \text{ L water vapours at 1 atm and 273 K}$
4. $10^{-3} \text{ mol of water}$

Solution:

$\text{Hint: 1 mole of H}_2\text{O} = 18 \text{ g}$ $\text{1. 18 ml water means 18 g H}_2\text{O}. \text{1 mole H}_2\text{O is equal to 18 g. So N}_A \text{ molecule of water present in 18 g of water.}$ $\text{2. number of moles of water} = 0.18/18$ $= 0.01 \text{ mole}$ $\text{1 mole} = \text{N}_A \text{ molecules}$ $= 0.01 \text{ N}_A \text{ molecule}$ $\text{3. number of moles of water} = 0.00224/22.4$ $= 10^{-4} \text{ mole}$ $= 10^{-4} \text{ N}_A \text{ molecule}$ $\text{4. } 10^{-3} \text{ mol means } 10^{-3} \times \text{ N}_A \text{ molecule}$

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
}