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Current Question (ID: 8256)

Question:
$\text{Pairs correctly represent intensive property among the following is:}$
Options:
  • 1. $\text{Entropy, Gibb's energy}$
  • 2. $\text{Enthalpy, Heat capacity}$
  • 3. $\text{Electrode potential, Vapour pressure}$
  • 4. $\text{Resistance, Conductance}$
Solution:
$\text{An intensive property is a physical quantity whose value does not depend on the amount of the substance for which it is measured.}$\n\n$\text{Vapor pressure is an intensive property, since it only depends on the fraction of the surface particles that can vaporize.}$\n\n$\text{Electrode potential also an intensive property because it does not depends on than amount of substance.}$\n\n$\text{Let us analyze each option:}$\n\n$\bullet \, \text{Entropy: This is an extensive property as entropy change with the size of the system hence it is an extensive property.}$\n\n$\bullet \, \text{Gibb's energy: This is an extensive property as it depends on the amount of substance.}$\n\n$\bullet \, \text{Enthalpy: This is an extensive property as it depends on the amount of substance.}$\n\n$\bullet \, \text{Heat capacity: This is an extensive property as it depends on the amount of substance.}$\n\n$\bullet \, \text{Electrode potential: This is an intensive property as it does not depend on the amount of substance.}$\n\n$\bullet \, \text{Vapour pressure: This is an intensive property as it depends only on the fraction of surface particles that can vaporize, not the total amount.}$\n\n$\bullet \, \text{Resistance: This is an extensive property as it depends on length and area of the material.}$\n\n$\bullet \, \text{Conductance: This is an extensive property because it depends on the size and shape of the conductor.}$\n\n$\text{Therefore, only option (3) contains both intensive properties: Electrode potential and Vapour pressure.}$\n\n$\text{Therefore, option (3) is correct.}$

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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
}