Import Question JSON

Current Question (ID: 20811)

Question:

$\text{Calculate the volume of water required to dilute 5 g of NaOH to a 0.1 M solution.}$

Options:

1. $180 \text{ mL}$
2. $130 \text{ mL}$
3. $210 \text{ mL}$
4. $150 \text{ mL}$

Solution:

$\text{Hint: } M_1V_1 = M_2V_2$ $\text{Step 1:}$ $\text{Calculate the molarity of the NaOH solution as follows:}$ $\text{molarity} = \frac{\text{amount of NaOH}}{\text{Molar mass of NaOH}} \times \frac{1000}{\text{volume of NaOH}}$ $= \frac{5 \times 1000}{40 \times 450}$ $= \frac{5}{18} M$ $\text{Step 2:}$ $\text{Used the concept of dilution as follows:}$ $M_1V_1 = M_2V_2$ $M_1 = \text{Initial molarity;} = \frac{5}{18}$ $V_1 = \text{Initial volume;}$ $M_2 = \text{Final molarity;} = 0.1 M$ $V_2 = \text{Final Volume;} = 500 \text{ mL}$ $V \times \frac{5}{18} = 500 \times 0.1$ $V = 180 \text{ mL}$ $\text{Thus, option 1 is the correct answer.}$

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
}