Import Question JSON

Current Question (ID: 20791)

Question:

$\text{The molarity of a solution obtained by mixing } 750 \text{ mL of } 0.5\text{M HCl with } 250 \text{ mL of } 2\text{M HCl will be:}$

Options:

1. $1.75 \text{ M}$
2. $0.975 \text{ M}$
3. $0.875 \text{ M}$
4. $1.00$

Solution:

$\text{Hint: } M_{\text{resultant}} = \frac{(M_1 \times V_1) + (M_2 \times V_2)}{V_1 + V_2}$ $\text{Calculate the value } M_{\text{resultant}} \text{ as follows:}$ $M_1 \text{ is molarity of HCl, } V_1 \text{ is volume of HCl, } M_2 \text{ is molarity of another HCl solution, and } V_2 \text{ is volume of HCl solution.}$ $M_{\text{resultant}} = \frac{M_1 V_1 + M_2 V_2}{V_1 + V_2}$ $= \frac{(0.5 \times 750) + (2 \times 250)}{250 + 750}$ $= \frac{375 + 500}{1000}$ $= 0.875 \text{ M}$ $\text{The molarity of resultant solution is } 0.875 \text{ M.}$ $\text{So, option 3 is the correct answer.}$

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
}