Import Question JSON

Current Question (ID: 8128)

Question:

$\text{For a real gas, PV is a constant over a small range of pressures at-}$

Options:

1. $\text{Boyle's temperature}$
2. $\text{Critical temperature}$
3. $\text{Inversion temperature}$
4. $\text{Ordinary temperature}$

Solution:

$\text{Hint: This is referred to as Boyle's temperature.}$ $\text{Explanation:}$ $\text{Boyle temperature can be defined as the point in the temperature range in which a real gas starts to behave like an ideal gas at a pressure range.}$ $\text{The temperature at which the second virial coefficient in the virial expansion of the compressibility factor becomes zero is known as a Boyle temperature.}$ $\text{At Boyle's temperature, the repulsive forces balance the attractive forces for a real gas, and the gas behaves ideally over a range of low to moderate pressures, meaning } PV \text{ remains approximately constant.}$

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
}