Import Question JSON

Current Question (ID: 21142)

Question:

$\text{If 200 mL of 0.01 M HCl is mixed with 400 mL of 0.01 M H}_2\text{SO}_4, \text{ what is the pH of the resulting mixture?}$ $\text{(Given: log 2 = 0.30, log 3 = 0.48, log 5 = 0.70, log 7 = 0.84, log 11 = 1.04)}$

Options:

1. $1.14$
2. $1.78$
3. $2.34$
4. $3.02$

Solution:

$\text{Hint: } M = \frac{M_1 \times V_1 + M_2 \times V_2}{V}$ $[H^+] = \frac{0.01 \times 200 + 2 \times 0.01 \times 400}{600}$ $= \frac{0.01 \times 2 + 0.01 \times 2}{0.01 + 0.04}$ $= \frac{\frac{5}{3}}{3}$ $= \frac{5}{3} \times 10^{-2}$ $pH = -\log[H^+]$ $= -\log\left(\frac{5}{3} \times 10^{-2}\right)$ $= -[\log\frac{5}{3} + \log10^{-2}]$ $= -[\log5 - \log3 - 2]$ $= -0.7 + 0.48 + 2$ $= 2.48 - 0.7$ $= 1.78$

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
}