Import Question JSON

Current Question (ID: 10736)

Question:

$\text{Liquid oxygen at 50 K is heated up to 300 K at a constant pressure of 1 atm. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time?}$

Options:

1. $\text{Graph showing temperature increase, then flat horizontal line, then further increase}$ (Correct)
2. $\text{Graph showing gradual curved increase in temperature}$
3. $\text{Graph showing straight linear increase in temperature}$
4. $\text{Graph showing initial flat line, then curved increase in temperature}$

Solution:

$\text{Hint: During a phase change, heat absorbed does not lead to a change in temperature.}$ $\text{Step 1: Write the equation for heat absorbed in terms of time.}$ $Q = Kt$ $Q = mc \Delta T = Kt$ $\Delta T \propto t$ $T \text{ v/s } t \rightarrow \text{Straight line}$

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
}