Import Question JSON

Current Question (ID: 7358)

Question:

$6.02\times10^{20} \text{ molecules of urea are present in 100mL of its solution. The concentration of the solution is:}$

Options:

1. $0.02\text{M}$
2. $0.01\text{M}$
3. $0.001\text{M}$
4. $0.1\text{M}$

Solution:

$\text{Hint: 1 mole of substance} = 6.02\times10^{23} \text{ molecule of substance}$\n\n$\text{Step 1:}$\n\n$\text{Given, number of molecules of urea}= 6.02\times10^{20}$\n\n$\text{Number of moles} = 6.02\times10^{20} /\text{N}_A$\n\n$=6.02\times10^{20} /6.02\times10^{23}$\n\n$=1\times10^{-3} \text{ mol}$\n\n$\text{Volume of the solution} = 100\text{mL}$\n\n$= 100/1000\text{L}$\n\n$= 0.1\text{L}$\n\n$\text{Step 2:}$\n\n$\text{Concentration of urea solution (in mol L}^{-1}\text{)}$\n\n$= 1\times10^{-3} /0.1 \text{ mol L}^{-1}$\n\n$= 1\times10^{-2} \text{ mol L}^{-1}$\n\n$= 0.01 \text{ mol L}^{-1}$

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
}