Import Question JSON

Current Question (ID: 18015)

Question:
$\text{For an ideal solution, the non-zero value will be for:}$ $1. \Delta H_{\text{mix}}$ $2. \Delta S_{\text{mix}}$ $3. \Delta V_{\text{mix}}$ $4. \Delta P = P_{\text{observed}} - P_{\text{Raoult}}$
Options:
  • 1. $\Delta H_{\text{mix}}$
  • 2. $\Delta S_{\text{mix}}$
  • 3. $\Delta V_{\text{mix}}$
  • 4. $\Delta P = P_{\text{observed}} - P_{\text{Raoult}}$
Solution:
$\text{Hint: } \Delta V_{\text{mixing}} \text{ and } \Delta H_{\text{mixing}} \text{ is zero.}$ $\text{Explanation:}$ $\text{For an ideal solution, } \Delta S_{\text{mix}} \neq 0$ $\text{whereas } \Delta V_{\text{mixing}} = 0, \Delta H_{\text{mixing}} = 0 .$ $\text{The entropy change } \Delta S = \Delta Q/T (= \Delta H/T \text{ at constant pressure}) \text{ only for reversible processes.}$ $\text{For irreversible processes such as mixing } \Delta S > \Delta Q/T (= \Delta H/T \text{ at constant pressure}).$ $\text{Thus for mixing of ideal gases or ideal solutions } \Delta Q = 0 \text{ but } \Delta S > 0.$

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
}