Import Question JSON

Current Question (ID: 8180)

Question:

$\text{6.4 grams of a gas , at } 0^{\circ}\text{C and 0.99 atm pressure occupies a volume of 2.241 L. The correct statement about this gas is-}$\n\n$\text{[Molecular mass of gas A = 64]}$

Options:

1. $\text{The gas is ideal}$
2. $\text{The gas is real with intermolecular attraction}$
3. $\text{The gas is real without intermolecular repulsion}$
4. $\text{The gas is real with intermolecular repulsion greater than intermolecular attraction}$

Solution:

$\text{Hint: If 1 mole of gas occupies 22.4 L then gas is ideal}$\n\n$\text{6.4 g X gas at STP (that is, at } 0^{\circ}\text{C temperature and 1 atm pressure) occupies a volume of 2.241 L.}$\n\n$\text{64 g X gas that is, 1 mole X gas at STP occupies a volume of 22.41 L.}$\n\n$\text{1 g X gas occupies a volume of } \frac{22.4}{64} \text{ L}$\n\n$\text{6.4 g of X occupies a volume of } \frac{22.4}{64} \times 6.4 \text{ L}$\n\n$\text{= 2.24 L}$\n\n$\text{Now 1 mole of an ideal gas occupies 22.4 L at STP condition.}$\n\n$\text{Therefore, X is an ideal gas.}$

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
}