Import Question JSON

Current Question (ID: 8255)

Question:

\text{Select the correct option based on the statements given below:} \textbf{Statement I.} \text{ Specific heat is an intensive property.} \textbf{Statement II.} \text{ Heat capacity is an extensive property.}

Options:

1. $\text{Statement I is correct; Statement II is correct.}$
2. $\text{Statement I is correct; Statement II is incorrect.}$
3. $\text{Statement I is incorrect; Statement II is correct.}$
4. $\text{Statement I is incorrect; Statement II is incorrect.}$

Solution:

$\textbf{Hint:} \text{Specific heat is an intensive property.}$\n\n$\textbf{Explanation:}$\n\n$\text{An extensive property is a property whose value depends on the quantity or size of matter present in the system.}$\n\n$\text{For example, mass, volume, internal energy, enthalpy, heat capacity, etc. are extensive properties.}$\n\n$\text{Those properties which do not depend on the quantity or size of matter present are known as intensive properties. For example temperature, density, pressure etc. Specific heat is an intensive property because it does not matter the amount of substance present.}$\n\n$\text{Heat capacity depends upon the mass of the substance and therefore it is an extensive property.}$\n\n$\text{Let us analyze each statement:}$\n\n$\textbf{Statement I:} \text{\"Specific heat is an intensive property\" - This is CORRECT.}$\n$\text{Specific heat is the amount of heat required to raise the temperature of 1 gram of substance by 1°C. It is a characteristic property of the material and does not depend on the amount of substance present.}$\n\n$\textbf{Statement II:} \text{\"Heat capacity is an extensive property\" - This is CORRECT.}$\n$\text{Heat capacity is the amount of heat required to raise the temperature of the entire sample by 1°C. It depends on the mass of the substance - more mass requires more heat, so it is extensive.}$\n\n$\text{Hence, Statement I is correct; Statement II is correct.}$\n\n$\text{Therefore, option (1) is correct.}$

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
}