The mass of 0:5 mole of N2 gas is 

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NDA-II 2024 (GAT) Official Paper (Held On: 01 Sept, 2024)
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  1. 7 g
  2. 14 g
  3. 21 g
  4. 28 g

Answer (Detailed Solution Below)

Option 2 : 14 g
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CONCEPT:

Molar Mass and Mole Calculation

  • The molar mass of a substance is the mass of one mole of that substance, usually expressed in grams per mole (g/mol).
  • The molar mass of nitrogen gas (N2) can be calculated by adding the atomic masses of two nitrogen atoms.
  • The molar mass of a single nitrogen atom (N) is approximately 14 g/mol.

EXPLANATION:

  • For nitrogen gas (N2):
    • The molar mass of N2 = 14 g/mol (for one N atom) × 2 = 28 g/mol
  • To find the mass of 0.5 mole of N2 gas, we use the formula:
    • Mass = Number of moles × Molar mass
    • Mass = 0.5 moles × 28 g/mol
    • Mass = 14 grams

Therefore, the mass of 0.5 mole of N2 gas is 14 grams.

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