How can we determine the density of air?

🇫🇷 French Version

I— Density ρ 🧪

Density ρ of a liquid in g/L gives the mass in g of one litre of that liquid.

Example:
The density of carbon dioxide is 1.77 g/L , so the mass of one litre of carbon dioxide is 1.77 g . ✅


Density ρ is the ratio of mass m to volume V.

 \( \bbox[5pt, white]{ρ = m \div V} \) 
 \( \bbox[5pt, white]{ρ = m : V} \) 
 \( \bbox[5pt, white]{ρ = m / V} \) 
 \( \bbox[5pt, white]{ρ = {\displaystyle\frac{m}{V}}} \) 

II— Equipment to use ⚙️

To determine the density ρ of air, we need:

— a balance to measure mass

Drawing of a balance (scale)
An electronic balance
Diagram of a balance
Diagram of a balance

and
— a graduated container (a cylinder) or a container of known capacity (a one-litre bottle).

One-litre bottle
One-litre bottle

III— Method 1: Displacement of air 🔄

Step 1: displacement method
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Step 2: displacement method
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Step 3: displacement method
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Step 4: displacement method

Calculation of the mass of one litre of air:
m1 = 453.7 ± 0.1 g
m2 = 452.7 ± 0.1 g

m1 L of air = m1 − m2
m1 L of air = 453.7 − 452.7
m1 L of air = 1.0 g ± 0.2 g 🎯

The mass of one litre of air is 1.0 g to within 0.2 g.
The density ρ of air is 1.0 g/L.

IV— Method 2: By displacing a liquid 💧

Step 1: liquid-displacement method
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Step 2: liquid-displacement method
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Step 3: liquid-displacement method
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Step 4: liquid-displacement method

Calculation of the mass of one litre of air:
m1 = 356.2 ± 0.1 g
m2 = 355.2 ± 0.1 g

m1 L of air = m1 − m2
m1 L of air = 356.2 − 355.2
m1 L of air = 1.0 g ± 0.2 g

The mass of one litre of air is 1.0 g to within 0.2 g.
The density ρ of air is 1.0 g/L.

V— Density of air 📈

The density ρ of air is 1.2 g/L at 20 °C.

Note:
The density of air depends on temperature and pressure.

For a given pressure, when temperature increases, the density of air decreases.

For a given temperature, when pressure increases, the density of air increases. 🌡️➡️📉 / ⬆️🧪➡️📈

💡 Ready to test your understanding?

Let's go! 💥