Import Question JSON

Current Question (ID: 20941)

Question:

$\text{Given below are two statements:}$ $\text{Statement I:}$ \text{The first ionization energy of Pb is greater than that of Sn.}$ $\text{Statement II:}$ \text{The first ionization energy of Ge is greater than that of Si.}$

Options:

1. $\text{Statement I is correct but Statement II is incorrect.}$
2. $\text{Both Statement I and Statement II are incorrect.}$
3. $\text{Both Statement I and Statement II are correct.}$
4. $\text{Statement I is incorrect but Statement II is correct.}$

Solution:

$\text{Ionization energy decreases down the group.}$ $\text{(1) The first ionization energy of lead (Pb) is higher than that of tin (Sn).}$ $\text{Ionization energy generally increases across a period in the periodic table due to increasing nuclear charge, which pulls electrons closer to the nucleus, making them harder to remove.}$ $\text{Although Pb and Sn are in the same group (Group 14), Pb is below Sn, and one might expect a decrease in ionization energy down the group due to increased atomic size and shielding effects.}$ $\text{However, lead (Pb) requires more energy to remove an electron (715 kJ/mol) than tin (Sn) (708 kJ/mol) because of relativistic effects and the weak shielding from the 4f and 5d electrons in Pb, which leads to a stronger pull from the nucleus, making the 6s electrons more stable (inert pair effect).}$ $\text{This makes it harder to remove an electron from Pb compared to Sn.}$ $\text{(2) The first ionization energy of germanium (Ge) is less than that of silicon (Si).}$ $\text{Ionization energy generally decreases down a group in the periodic table due to increased atomic size and shielding effects, which make electrons easier to remove.}$ $\text{Silicon (Si) is above germanium (Ge) in group 14 of the periodic table, so Si should have a higher first ionization energy than Ge.}$ $\text{The order of I.E. (in kJ/mol):}$ $\text{C > Si > Ge > Sn < Pb}$ $1086 \quad 786 \quad 762 \quad 708 \quad 715$ $\text{Hence, option 1 is the correct answer.}$

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
}