Import Question JSON

Current Question (ID: 10655)

Question:

$\text{Which of the following has the least bond angle?}$

Options:

1. $\text{H}_2\text{O}$ (Correct)
2. $\text{NH}_3$
3. $\text{CH}_4$
4. $\text{CO}_2$

Solution:

$\text{Analysis of bond angles for each molecule:}$ $\text{1. } \text{H}_2\text{O}: \text{ Bent geometry with two lone pairs, bond angle } \approx 104.5°$ $\text{2. } \text{NH}_3: \text{ Trigonal pyramidal geometry with one lone pair, bond angle } \approx 107°$ $\text{3. } \text{CH}_4: \text{ Tetrahedral geometry with no lone pairs, bond angle } 109.5°$ $\text{4. } \text{CO}_2: \text{ Linear geometry with no lone pairs, bond angle } 180°$ $\text{H}_2\text{O has the smallest bond angle due to the strong repulsion from its two lone pairs of electrons.}$ $\text{The lone pairs occupy more space than bonding pairs, causing greater repulsion and compressing the H-O-H bond angle to approximately } 104.5°\text{, which is less than the other molecules.}$

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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
}