Import Question JSON

Current Question (ID: 18467)

Question:

$\text{Among the following surfactant molecules, the surfactant with the lowest CMC}$ $\text{in aqueous solution at ambient conditions is:}$

Options:

1. $\text{CH}_3(\text{CH}_2)_{15}\text{N}^+(\text{CH}_3)_3\text{Br}^-$
2. $\text{CH}_3(\text{CH}_2)_{11}\text{OSO}_3^-\ \text{Na}^+$
3. $\text{CH}_3(\text{CH}_2)_6\text{COO}^-\ \text{Na}^+$
4. $\text{CH}_3(\text{CH}_2)_{11}\text{N}^+(\text{CH}_3)_3\text{Br}^-$

Solution:

$\text{HINT: More is the hydrophobic character in surfactant molecule lesser is}$ $\text{CMC in aqueous solution.}$ $\text{Explanation:}$ $\text{The CMC (critical micelle concentration) is the concentration of a surfactant}$ $\text{in a bulk phase, above which aggregates of surfactant molecules, so-called}$ $\text{micelles, start to form.}$ $\text{More is the hydrophobic fragment in surfactant molecules, lesser is CMC in}$ $\text{aqueous solution.}$ $\text{Here CH}_3(\text{CH}_2)_{15}\text{N}^+(\text{CH}_3)_3\text{Br}^-\text{ is having longest hydrophobic chain, so it will}$ $\text{form micelles in aqueous solution at the lower CMC at ambient condition.}$

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
}