Calculate mass of Nitrogen (N2) which contains same number of molecules as are present in 4.4g of carbon dioxide (CO2).
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Given :
Mass of CO₂ = 4.4 g
To find :
Mass of N₂ which contains same number of molecules
Formula used :
- Number of mole = given mass ÷ molar mass
- Number of molecules = Number of moles× Avogadro's number
Additional points :
- Molar mass of CO₂ = 44 g/mol
- Molar mass of N₂ = 28 g/mol
Steps to follow :
- Firstly find Number of moles of CO₂
- After that find Number of molecules of CO₂
- Find Number of moles of N₂, from Number of molecules
- Then find , Mass of N₂ through it
Solution :
- Number of moles of CO₂ = 4.4/44
➝ Number of moles of CO₂ = 0.1 moles
➝ Number of molecules of CO₂ = 0.1× Avogadro's Number
_______________________________________________
Now , as Number of molecules of CO₂ = Number of molecules of N₂
➝ Number of molecules of N₂ = 0.1 × Avogadro's Number
➝ Number of mole of N₂ = Number of molecules of N₂ ÷ Avogadro's Number
➝ Number of mole of N₂ = 0.1 × Avogadro's Number ÷ Avogadro's Number
➝ Number of mole of N₂ = 0.1 mole
Also,
➝ Number of mole of N₂ = mass of N₂ ÷ molar mass of N₂
➝ Mass of N₂ = 0.1 × 28
➝ Mass of N₂ = 2.8 g
ANSWER :
Mass of N₂ = 2.8 g
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