Import Question JSON

Current Question (ID: 18129)

Question:

$\text{Given that the pH of a 0.1 M monobasic acid is 2, what is the osmotic pressure at a given temperature T?}$

Options:

1. $0.1RT$
2. $0.11RT$
3. $1.1RT$
4. $0.01RT$

Solution:

$\text{Hint: } i = 1 + \alpha$ $\text{Step 1:}$ $\text{The reaction is as follows:}$ $\text{HA} \rightleftharpoons \text{H}^+ + \text{A}^- \quad (1-\alpha) \quad \alpha \quad \alpha$ $\text{Calculate the value of } i \text{ as follows:}$ $i = 1 + \alpha$ $\text{pH} = 2$ $C\alpha = [\text{H}^+] = 10^{-2} = 0.01$ $C\alpha = 0.01$ $\alpha = \frac{0.01}{C} = \frac{0.01}{0.1} = 0.1$ $i = 1 + 0.1$ $i = 1.1$ $\text{Step 2:}$ $\pi = iCRT$ $\pi = 1.1 \times 0.1 \times RT$ $\pi = 0.11 RT$

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
}