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Current Question (ID: 8033)

Question:
The incorrect statement among the following regarding the molecules of $\text{CH}_4$, $\text{NH}_3$, and $\text{H}_2\text{O}$ is:
Options:
  • 1. The $\text{H-O-H}$ bond angle in $\text{H}_2\text{O}$ is larger than the $\text{H-C-H}$ bond angle in $\text{CH}_4$. (Correct)
  • 2. The $\text{H-O-H}$ bond angle in $\text{H}_2\text{O}$ is smaller than the $\text{H-N-H}$ bond angle in $\text{NH}_3$.
  • 3. The $\text{H-C-H}$ bond angle in $\text{CH}_4$ is larger than the $\text{H-N-H}$ bond angle in $\text{NH}_3$.
  • 4. The $\text{H-C-H}$ bond angle in $\text{CH}_4$, the $\text{H-N-H}$ bond angle in $\text{NH}_3$, and the $\text{H-O-H}$ bond angle in $\text{H}_2\text{O}$ are all greater than $90^\circ$.
Solution:
HINT: $\text{Bond angle } \alpha \frac{1}{\text{No. of lone pairs}}$ Explanation: As the number of lone pairs of electrons on the central element increases, repulsion between those lone pairs of electrons increases, and therefore, the bond angle decreases. $\text{Molecules} \begin{tabular}{|l|l|l|} \hline \text{Molecules} & \text{No. of lone pairs} & \text{Bond angle} \\ \hline \text{CH}_4 & 0 & 109.5^\circ \\ \hline \text{NH}_3 & 1 & 107.5^\circ \\ \hline \text{H}_2\text{O} & 2 & 104.45^\circ \\ \hline \end{tabular} Based on the table: 1. The $\text{H-O-H}$ bond angle in $\text{H}_2\text{O}$ is $104.45^\circ$, and the $\text{H-C-H}$ bond angle in $\text{CH}_4$ is $109.5^\circ$. So, $104.45^\circ$ is NOT larger than $109.5^\circ$. This statement is incorrect. 2. The $\text{H-O-H}$ bond angle in $\text{H}_2\text{O}$ is $104.45^\circ$, and the $\text{H-N-H}$ bond angle in $\text{NH}_3$ is $107.5^\circ$. So, $104.45^\circ$ IS smaller than $107.5^\circ$. This statement is correct. 3. The $\text{H-C-H}$ bond angle in $\text{CH}_4$ is $109.5^\circ$, and the $\text{H-N-H}$ bond angle in $\text{NH}_3$ is $107.5^\circ$. So, $109.5^\circ$ IS larger than $107.5^\circ$. This statement is correct. 4. All the listed bond angles are greater than $90^\circ$: $109.5^\circ > 90^\circ$, $107.5^\circ > 90^\circ$, and $104.45^\circ > 90^\circ$. This statement is correct. Therefore, the incorrect statement is option 1.

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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
}