The mole fraction of N₂ in the mixture, given the data is 0.225
<h3>How to determine the mass of the mixture</h3>
- Density of mixture = 2.063 g/L
- Volume (at STP) = 22.4 L
- Mass of mixture =?
Density = mass / volume
Cross multiply
Mass = Density × volume
Mass of mixture = 2.063 × 22.4
Mass of mixture = 46.2112 g
<h3>How to determine the mole fraction of N₂</h3>
We'll begin by calculating the mole of N₂ in the mixture. This can be obtained as follow:
- Mass of mixture = 46.2112 g
- Let the mole of Cl₂ = y
- Let the mole of O₂ = Mole of Cl₂ = y
- Total mole = 1 mole
- Let the mole of N₂ = x =?
Total mole = Mole of N₂ + Mole of Cl₂ + Mole of O₂
1 = x + y + y
1 = x + 2y
2y = 1 - x
y = (1 - x) / 2
Mass of mixture = mass of N₂ + mass of Cl₂ + mass of O₂
Recall
mass = mole × molar mass
Thus,
Mass of mixture = (mole of N₂ × molar mass) + (mole of Cl₂ × molar mass) + (mole of O₂ × molar mass)
46.2112 = 28x + 71y + 32y
But
y = (1 - x) / 2
46.2112 = 28x + 71(1 - x) / 2 + 32(1 - x) / 2
Multiply through by 2
92.4224 = 56x + 71(1 - x) + 32(1 - x)
92.4224 = 56x + 71 - 71x + 32 - 32x
Collect like terms
92.4224 - 71 - 32 = 56x - 71x - 32x
-10.5776 = -47x
Divide both sides by -47
x = -10.5776 / -47
x = 0.225 mole
Finally, we can determine the mole fraction of N₂. This can be obtained as follow:
- Mole of N₂ = x = 0.225 mole
- Total mole = 1 mole
- Mole fraction of N₂ = ?
Mole fraction = mole / total mole
Mole fraction of N₂ = 0.225 / 1
Mole fraction of N₂ = 0.225
Learn more about mole fraction:
brainly.com/question/2769009
#SPJ1
