In a vessal 2g O2, 2g H2 and 2g N2 are present. Which has largest number of atoms
Answers
Answer:
2gm of H2
Explanation:
as we know very well that
32gm of O2 = 1 mole
2gm of O2 = 0.0625 mole
again we know in case of N2 there is a same case alike O2 but in case of H2 , 2gm of H2=1 mole .
2g H₂ has the largest number of atoms.
Given: mass of O₂, m₁ = 2g
mass of H₂, m₂ = 2g
mass of N₂, m₃ = 2g
To Find: Number of atoms in O₂, N₁
Number of atoms in H₂, N₂
Number of atoms in N₂, N₃
Solution:
To calculate the number of atoms, the formula used:
- Number of atoms, N = number of moles x Avogadro's number (Nₐ)
- Nₐ = 6.02 x 10²³atoms/ions/molecules
- number of moles, n = mass (m) / molar mass(M)
For O₂:
Number of moles, n₁ = m₁ / Molar mass of O₂
Molar mass of O₂ = 32g
n₁ = 2/32
= 1/16 mol
N₁ = n₁ x Nₐ
= 1/16 x 6.02 x 10²³
= 0.376 x 10²³atoms
N₁ = 0.376 x 10²³atoms
For H₂:
Number of moles, n₂ = m₂ / Molar mass of H₂
Molar mass of H₂ = 2g
n₂ = 2/2
= 1 mol
N₂ = n₂ x Na
= 1 x 6.02 x 10²³
N₂ = 6.02 x 10²³atoms
For N₂:
Number of moles, n₃ = m₃ / Molar mass of N2
Molar mass of N₂ = 28g
n₃ = 2/28
= 1/14 mol
N₃ = n₃ x Nₐ
= 1/14 x 6.02 x 10²³
= 0.43 x 10²³
N₃ = 0.43 x 10²³atoms
Hence, 2g H₂ has the largest number of atoms i.e. 6.02 x 10²³atoms.