Question:

The number of electrons in one mole of methane:

Updated On: Apr 7, 2025
  • 6.023x1023

  •  60.23x1023

  •  0.6023x1023

  •  602.3x1023

  •  6023x1023

Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Approach Solution - 1

Given: 1 mole of methane (\( \text{CH}_4 \))

Electron count per molecule:

  • Carbon: 6 electrons
  • Hydrogen (each): 1 electron × 4 atoms
  • Total per molecule: 6 + 4 = 10 electrons

 

Avogadro's number: \( 6.023 \times 10^{23} \) molecules/mole

Total electrons: \[ 10 \times 6.023 \times 10^{23} = 60.23 \times 10^{23} \]

Thus, the correct option is (B): \( 60.23 \times 10^{23} \).

Was this answer helpful?
1
0
Hide Solution
collegedunia
Verified By Collegedunia

Approach Solution -2

1. Understanding the problem:

We are tasked with determining the total number of electrons in one mole of methane (\( \text{CH}_4 \)).

2. Analyze the composition of methane:

  • Methane (\( \text{CH}_4 \)) consists of one carbon atom and four hydrogen atoms.
  • The atomic number of carbon is 6, so a carbon atom has 6 electrons.
  • The atomic number of hydrogen is 1, so each hydrogen atom has 1 electron.
  • Total electrons in one molecule of methane = \( 6 + (4 \times 1) = 10 \).

3. Calculate the total number of electrons in one mole of methane:

  • One mole of methane contains \( 6.023 \times 10^{23} \) molecules (Avogadro's number).
  • Each molecule of methane has 10 electrons.
  • Total electrons in one mole of methane = \( 10 \times 6.023 \times 10^{23} \).
  • \[ \text{Total electrons} = 60.23 \times 10^{23} \].

5. Final answer:

The correct option is (B) \( 60.23 \times 10^{23} \).

Was this answer helpful?
0
0