Import Question JSON

Current Question (ID: 19644)

Question:

$\text{In an experiment a sphere of aluminum of mass } 0.20 \text{ kg is heated up to } 150^\circ\text{C.}$ $\text{Immediately, it is put into the water of volume } 150 \text{ cc at } 27^\circ\text{C}$ $\text{kept in a calorimeter of water equivalent of } 0.025 \text{ kg.}$ $\text{The final temperature of the system is } 40^\circ\text{C.}$ $\text{The specific heat of aluminum is:}$ $\text{(take } 4.2 \text{ joule } = 1 \text{ calorie)}$

Options:

1. $315 \text{ J kg}^{-1}\text{C}^{-1}$
2. $378 \text{ J kg}^{-1}\text{C}^{-1}$
3. $476 \text{ J kg}^{-1}\text{C}^{-1}$
4. $434 \text{ J kg}^{-1}\text{C}^{-1}$

Solution:

$\text{Hint: } \Delta Q = ms \Delta T$

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
}