Import Question JSON

Current Question (ID: 20813)

Question:

$\text{The mass ratio of ethylene glycol (62 g/mol) required to make } (500 \text{ ml, } 0.25 \text{ M}) \text{ and } (250 \text{ ml, } 0.25 \text{ M}) \text{ solutions is:}$

Options:

1. $1:1$
2. $1:2$
3. $2:1$
4. $4:1$

Solution:

$\text{(i) In the first case, the molarity is } 0.25 \text{ M and volume of solution } = 500 \text{ mL.}$ $\text{Milli moles of ethylene glycol in the first case } = 500 \times 0.25$ $\text{(ii) In the second case, the molarity is } 0.25 \text{ M and the volume of the solution is } 250 \text{ mL.}$ $\text{Milli moles of ethylene glycol in the second case } = 250 \times 0.25$ $\text{(iii) Molar ratio } = \frac{50}{25} = \frac{10}{5} = \frac{2}{1}$ $\text{We know that the number of moles is } \frac{\text{Given mass}}{\text{Molar mass}}$ $\text{So, the mass ratio will be } 2:1. \text{ Thus, the correct answer is option 3.}$

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
}