Import Question JSON

Current Question (ID: 19735)

Question:

$\text{When the amount of heat supplied to a gas in a system is equal to } 1000 \text{ J, the system in return does } 200 \text{ J of work on the surrounding.}$ $\text{What would be the change in the internal energy of the gas?}$

Options:

1. $800 \text{ J}$
2. $1200 \text{ J}$
3. $1000 \text{ J}$
4. $1100 \text{ J}$

Solution:

$\text{Hint: Use first law of thermodynamics.}$ $\text{Step: Find the change in internal energy.}$ $\Delta Q = \Delta U + W$ $\Delta U = 1000 - 200$ $= 800 \text{ J}$ $\text{Hence, option (1) is the correct answer.}$

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
}