Import Question JSON

Current Question (ID: 7441)

Question:

$\text{The weight of 1}\times10^{23} \text{ molecules of CuSO}_4\text{·5H}_2\text{O is:}$

Options:

1. $34.42 \text{ g}$
2. $41.42 \text{ g}$
3. $54.44 \text{ g}$
4. $68.94 \text{ g}$

Solution:

$\text{Hint: Use Avogadro's law of mole concept}$ $\text{Step 1:}$ $\text{According to Avogadro's law of mole concept}$ $6.022 \times 10^{23} \text{ molecules of CuSO}_4\text{·5H}_2\text{O (1 mole) have}$ $\text{weight} = 249.5 \text{ g}$ $\text{Step 2:}$ $\text{Weight of 1 molecule of CuSO}_4\text{·5H}_2\text{O} = \frac{249.5}{6.022 \times 10^{23}}$ $\text{weight of } 1 \times 10^{23} \text{ molecule of CuSO}_4\text{·5H}_2\text{O} = \frac{249.5 \times 1 \times 10^{23}}{6.022 \times 10^{23}}$ $= 41.42 \text{ g}$ $\text{Hence, option 2 is the correct answer.}$

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
}