Import Question JSON

Current Question (ID: 20854)

Question:

$\text{Concentrated nitric acid is labelled as } 75\% \text{ by mass. The volume in mL of the solution which contains } 30 \text{ g of nitric acid is:}$ $\text{Given: The density of nitric acid solution is } 1.25 \text{ g/mL}$

Options:

1. $45$
2. $55$
3. $32$
4. $40$

Solution:

$\text{Hint: } \%w/w \text{ of } \text{HNO}_3 = 75\% \text{, means } 100 \text{ gm of solution containing } 75 \text{ g of } \text{HNO}_3$ $\left( \frac{\text{gm}}{\text{mL}} \right)_{\text{solution}} = 1.25 = \frac{100 \text{ gm}}{V}$ $V_{\text{mL of 100 gm solution}} = \frac{100}{1.25} \text{ mL}$ $\therefore \text{ 75 gm of } \text{HNO}_3 \text{ present in } \frac{100}{1.25} \text{ mL solution}$ $\therefore \text{ 30 gm of } \text{HNO}_3 \text{ present in } \frac{100}{1.25 \times 75} \times 30 = 32 \text{ mL solution}$

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
}