Import Question JSON

Current Question (ID: 21524)

Question:
$\text{In basic medium } \text{CrO}_4^{2-} \text{ oxidizes } \text{S}_2\text{O}_3^{2-} \text{ to form } \text{S}_2\text{O}_3^{2-} \text{ to form } \text{SO}_4^{2-} \text{ and itself changes into } \text{Cr(OH)}_4^{-}.$ $\text{The volume of } 0.154 \text{ M } \text{CrO}_4^{2-} \text{ required to react with } 40 \text{ mL of } 0.25 \text{ M } \text{S}_2\text{O}_3^{2-} \text{ is:}$ $\text{(Rounded-off to the nearest integer)}$
Options:
  • 1. $178$
  • 2. $173$
  • 3. $169$
  • 4. $181$
Solution:
$+6 \text{CrO}_4^{2-} + +2 \text{S}_2\text{O}_3^{2-} \rightarrow +6 \text{SO}_4^{2-} + +3 \text{Cr(OH)}_4^{-}$ $\text{gm equi. of } \text{CrO}_4^{2-} = \text{S}_2\text{O}_3^{2-}$ $0.154 \times 3 \times v = 0.25 \times 40 \times 8$ $v = 173.16 = 173 \text{ mL}$ $\text{Hence answer is (173)}$

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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
}