Import Question JSON

Current Question (ID: 18407)

Question:

$\text{The correct curve for Freundlich's adsorption isotherm is:}$

Options:

1. $\log \frac{x}{m}$ $\text{ vs }$ $\log p$ $\text{ (concave curve)}$
2. $\log \frac{x}{m}$ $\text{ vs }$ $\log p$ $\text{ (convex curve)}$
3. $\log \frac{x}{m}$ $\text{ vs }$ $\log p$ $\text{ (straight line)}$
4. $\log \frac{x}{m}$ $\text{ vs }$ $\log p$ $\text{ (dashed line)}$

Solution:

$\text{According to the Freundlich adsorption isotherm:}$ $\frac{x}{m} = k p^{1/n}$ $\text{Taking log on both sides}$ $\log \frac{x}{m} = \left(\frac{1}{n}\right) \log p + \log k$ $\text{On comparing it with the equation of a straight line and drawing the graph}$ $\log \frac{x}{m}$ $\text{ versus }$ $\log p$, $\text{we get a straight line with intercept } \log k, \text{ and slope of the straight line gives the value of } \frac{1}{n}.$

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
}