Import Question JSON

Current Question (ID: 8229)

Question:

$\text{The correct order of temperature of a real gas is-}$ $\text{I. Boyle's temperature}$ $\text{II. Critical temperature}$ $\text{III. Inversion temperature}$

Options:

1. $\text{III} > \text{I} > \text{II}$
2. $\text{I} > \text{II} > \text{III}$
3. $\text{II} > \text{I} > \text{III}$
4. $\text{I} > \text{III} > \text{II}$

Solution:

$\text{Hint: The critical temperature of a substance is the temperature at and above which vapor of the substance cannot be liquefied, no matter how much pressure is applied.}$ $\text{Critical temperature}$ $\text{T}_c = \frac{8a}{27\text{Rb}}$ $\text{Boyle temperature}$ $\text{T}_b = \frac{a}{\text{Rb}}$ $\text{Inversion temperature}$ $\text{T}_I = \frac{2a}{\text{Rb}}$ $\text{So order is:}$ $\text{III} > \text{I} > \text{II}$

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
}