Import Question JSON

Current Question (ID: 19656)

Question:

$\text{A copper block of mass } 5.0 \text{ kg is heated to a temperature of } 500^\circ\text{C}$ $\text{and is placed on a large ice block. The maximum amount of ice that}$ $\text{can melt is: [Specific heat of copper: } 0.39 \text{ Jg}^{-1}\text{C}^{-1}\text{ and latent heat}$ $\text{of fusion of water: } 335 \text{ J g}^{-1} ]$

Options:

1. $1.5 \text{ kg}$
2. $5.8 \text{ kg}$
3. $2.9 \text{ kg}$
4. $3.8 \text{ kg}$

Solution:

$\text{Heat lost by copper block } = mc\Delta T = 5.0 \times 1000 \times 0.39 \times 500$ $= 975000 \text{ J}$ $\text{Heat required to melt ice } = mL = m \times 335 \times 1000$ $\text{Equating, } 975000 = m \times 335 \times 1000$ $m = \frac{975000}{335000} = 2.9 \text{ kg}$

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
}