Import Question JSON

Current Question (ID: 18195)

Question:

$\text{The } k = 4.95 \times 10^{-5} \text{ S cm}^{-1} \text{ for a } 0.00099 \text{ M solution. The reciprocal of the degree of dissociation of acetic acid, if } \wedge^0_m \text{ for acetic acid is } 400 \text{ S cm}^2\text{mol}^{-1} \text{ will be:}$

Options:

1. $7$
2. $8$
3. $9$
4. $10$

Solution:

$\text{HINT: } \lambda = \frac{k}{\text{M}} \times 1000$ $\text{Step 1:}$ $\text{Calculate the molar conductivity as follows:}$ $\lambda_M = \frac{k}{\text{M}} \times 1000$ $\lambda_M = \frac{1000 \times 4.95 \times 10^{-5}}{0.00099}$ $= \frac{4.95}{0.00099} \times 10^2 \times 9$ $= 50 \text{ S cm}^2\text{mol}^{-1}$ $\text{Step 2:}$ $\text{Calculate the value of } \alpha \text{ as follows:}$ $\alpha = \frac{\lambda_M}{\wedge^0_m}$ $\alpha = \frac{50}{400} = 0.125$ $\text{The reciprocal of the degree of dissociation of acetic acid is as follows:}$ $\frac{1}{0.125} = 8$ $\text{Hence, option second is correct.}$

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
}