Import Question JSON

Current Question (ID: 11110)

Question:

$\text{The figure below shows the graph of pressure and volume of a gas at two temperatures } T_1 \text{ and } T_2 \text{. Which one, of the following, inferences is correct?}$

Options:

1. $T_1 > T_2$
2. $T_1 = T_2$
3. $T_1 < T_2$ (Correct)
4. $\text{No inference can be drawn}$

Solution:

$\text{Hint: Recall the Charle's law. Explanation: For a given pressure, the volume will be higher if the temperature is higher (Charle's law). From the graph, it is clear that: } V_2 > V_1 \Rightarrow T_2 > T_1 \text{. Hence, option (3) is the correct answer.}$

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
}