Import Question JSON

Current Question (ID: 18040)

Question:

$\text{Amount of oxalic acid } ((\text{COOH})_2 \cdot 2\text{H}_2\text{O}) \text{ in grams that is required to obtain } 250 \text{ ml of a semi-molar solution is -}$

Options:

1. $17.75 \text{ g}$
2. $17.00 \text{ g}$
3. $15.75 \text{ g}$
4. $15.00 \text{ g}$

Solution:

$\text{Hint: Number of moles = molarity} \times \text{volume in L, and weight = number of moles} \times \text{molar mass}$ $\text{Step 1:}$ $\text{Molecular mass of oxalic acid} = 126 \text{ g mol}^{-1}$ $1000 \text{ ml of 1 M oxalic acid require oxalic acid} = 126 \text{ g}$ $\text{Step 2:}$ $\therefore \ 250 \text{ ml of 1 M oxalic acid will require oxalic acid}$ $= \frac{126}{1000} \times 250 = 31.5 \text{ g}$ $\text{Hence 250 ml of } \frac{M}{2} \text{ oxalic acid will require oxalic acid}$ $= 31.5 \times \frac{1}{2} = 15.75 \text{ g}$ $\therefore \ \text{Mass of oxalic acid required} = 15.75 \text{ g}.$

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
}