Import Question JSON

Current Question (ID: 8252)

Question:

$\text{If the volume of a gas is reduced to half from its original volume, then the specific heat will:}$

Options:

1. $\text{Reduce to half}$
2. $\text{Be Doubled}$
3. $\text{Remain constant}$
4. $\text{Increase four times}$

Solution:

\textbf{Hint: } \text{Specific heat is an intensive property.} \textbf{Explanation:} \text{The volume of gas is reduced to half from its original volume. The specific heat will remain constant.} \text{Specific heat is an intensive property depending only on the nature of the gas.} \text{Intensive properties are those that do not depend on the amount or size of the substance. Examples include:} \text{• Temperature} \text{• Pressure} \text{• Density} \text{• Specific heat} \text{• Boiling point} \text{• Melting point} \text{Since specific heat is an intensive property, it remains unchanged regardless of changes in volume, mass, or amount of the substance. The specific heat depends only on the chemical nature and physical state of the material, not on how much of it is present.} \text{Therefore, when the volume is reduced to half, the specific heat remains constant.} \text{Therefore, option (3) is correct.}

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
}