Import Question JSON

Current Question (ID: 21179)

Question:

$\text{The oxidation states of transition metal atoms in } \text{K}_2\text{Cr}_2\text{O}_7, \text{KMnO}_4 \text{ and } \text{K}_2\text{FeO}_4, \text{ respectively, are } x, y \text{ and } z. \text{ The sum of } x, y \text{ and } z \text{ is-}$

Options:

1. $16$
2. $12$
3. $19$
4. $22$

Solution:

$\text{Hint: Oxidation of Mn in } \text{KMnO}_4 \text{ is } +7$ $\text{Calculate the oxidation state of Cr in } \text{K}_2\text{Cr}_2\text{O}_7$ $2(+1) + 2x + 7(-2) = 0$ $x = +6$ $\text{Calculate the oxidation state of Mn in } \text{KMnO}_4$ $(+1) + y + 4(-2) = 0$ $x = +7$ $\text{Calculate the oxidation state of Fe in } \text{K}_2\text{FeO}_4$ $2(+1) + z + 4(-2) = 0$ $x = +6$ $\text{Hence, The value of } X, Y \text{ and } Z \text{ respectively are as follows:}$ $x = +6, y = +7, \text{ and } z = +6$ $\text{The sum of } x, y, \text{ and } z \text{ is-}$ $x + y + z = 19$

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
}