Import Question JSON

Current Question (ID: 10741)

Question:

$\text{Two identical bodies are made of a material whose heat capacity increases with temperature. One of these is at } 100°\text{C, while the other one is at } 0°\text{C. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature will be:}$

Options:

1. $50°\text{C}$
2. $\text{more than } 50°\text{C}$
3. \text{less than } 50°\text{C but greater than } 0°\text{C}
4. $0°\text{C}$

Solution:

$\text{Given: Heat capacity increases with temperature}$ $\text{Heat lost by 1st body = heat gained by 2nd body}$ $\text{Body at } 100°\text{C temperature has greater heat capacity than body at } 0°\text{C}$ $\text{so final temperature will be closer to } 100°\text{C}$ $\text{So } T_c > 50°\text{C}$

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
}