Import Question JSON

Current Question (ID: 8147)

Question:

$ \text{The number of moles of } \text{H}_2 \text{ in 0.224 litre of hydrogen gas at STP (273 K, 1 atm.) is-} $

Options:

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

Solution:

$ \text{Hint: Ideal gas equation, PV = nRT} \n\n \text{Step 1:} \n\n \text{The ideal gas equation is as follows:} \n\n PV = nRT \n\n \text{The given values are as follows:} \n\n P = 1 \text{ atm, } V = 0.224 \text{ L, R = 0.0821 atm L mol}^{-1} \text{ K}^{-1} \text{ and T = 273 K} \n\n \text{Step 2:} \n\n \text{Calculate the value of number of moles as follows:} \n\n PV = nRT, \n\n 1 \times 0.224 = n \times 0.082 \times 273 \n n = 0.01 \text{ mol} $

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
}