Import Question JSON

Current Question (ID: 11062)

Question:

$\text{A unit mass of a liquid with volume } V_1 \text{ is completely changed into a gas of volume } V_2 \text{ at a constant external pressure } P \text{ and temperature } T\text{. If the latent heat of evaporation for the given mass is } L\text{, then the increase in the internal energy of the system is:}$

Options:

1. $\text{Zero}$
2. $P(V_2 - V_1)$
3. $L - P(V_2 - V_1)$ (Correct)
4. $L$

Solution:

$\text{(3) } \Delta Q = \Delta U + P\Delta V$ $\Rightarrow mL = \Delta U + P(V_2 - V_1)$ $\Rightarrow \Delta U = L - P(V_2 - V_1) \text{ }(\because m = 1)$

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
}