Which has a greater number of atoms? (a) 48 g of O2 or (b) 22 g of CO2.
Answers
Given :-
- Which has a greater number of atoms?
a) 48g of O₂ (or) b) 22g of CO₂
Solution :-
- First of all, we know that the number of atoms can be calculated using the formula :-
No.of atoms = no.of moles(n) × Avogadro's number(N) × Atomicity
⇒ Here, 1) number of moles is Weight/Gram molecular weight
2) Atomicity is number of atoms in one molecule of element
3) Avogadro's number is 6.023 × 10²³
- Now let us first find no.of atoms in 48g of O₂
→ Number of atoms in 48g of O₂ = 48/32 × N × 2 = 3/4 × N = 0.75N
- Now let's find no.of atoms in 22g of CO₂
→ Number of atoms in 22g of CO₂ = 22/44 × N × 3 = 3/2 × N = 1.5N
⇒ Clearly, 1.5N > 0.75N
∴ 22g of CO₂ has greater no.of atoms!
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Answer:
48 g of has a greater number of molecules.
Explanation:
(a) 48 g of
We know that the molar mass of is 32 g/mol.
Therefore the number of moles = given mass/molar mass
= = 1.5 moles
One mole of compound contains an Avogadro number of particles.
Therefore the number of molecules of oxygen molecules in 1.5 moles
= 6.023 × × 1.5 = 9.0345 ×
(b) 22 g of
We know that the molar mass of is 44 g/mol
Therefore the number of moles = given mass/molar mass
= = 0.5 moles
One mole of compound contains an Avogadro number of particles.
Therefore the number of molecules of carbon dioxide molecules in 0.5 moles = 6.023 × × 0.5 = 3.0115 ×