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Let's begin with a simple calculation of the weight of air using density. Find the mass of air and its weight in a living room that has a 4.3m×5.4m floor and a ceiling 2.9 m high. What are the mass and weight of an equal volume of water?

a. What volume of water would have a mass equal to the mass of air in the room?

Respuesta :

Eduard22sly

1. The mass of the air, given the data is 85.88 Kg

2. The weight of the air is 841.624 N

3. The mass of an equal volume of water is 67338 Kg

4. The weight of an equal volume of water is 659912.4 Kg

5. The volume of water that would have a mass equal to the mass of air in the room is 8.588×10⁻² m³

How to determine the volume of the air

We shall determine the volume of the air in the room by finding the volume of the room.

Volume of air = volume of room

Volume of air = 4.3 × 5.4 × 2.9

Volume of air = 67.338 m³

1. How to determine the mass of the air

  • Volume of air = 67.338 m³
  • Density of air = 1.2754 kg/m³
  • Mass of air = ?

Density = mass / volume

Cross multiply

Mass = Density × volume

Mass of air = 1.2754 × 67.338

Mass of air = 85.88 Kg

2. How to determine the weight of the air

  • Mass of air (m) = 85.88 Kg
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Weight of air (W) = ?

W = mg

W = 85.88 × 9.8

Weight of air = 841.624 N

3. How to determine the mass of equal volume of water

  • Volume of air = 67.338 m³
  • Volume of water = Volume of air = 67.338 m³
  • Density of water = 1000 kg/m³
  • Mass of water = ?

Density = mass / volume

Cross multiply

Mass = Density × volume

Mass of water = 1000 × 67.338

Mass of water = 67338 Kg

4. How to determine the weight of equal volume of water

  • Mass of water = 67338 Kg
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Weight of water (W) = ?

W = mg

W = 67338 × 9.8

Weight of air = 659912.4 Kg

5. How to determine the volume of water with equal mass of air

  • Mass of air = 85.88 Kg
  • Mass of water = Mass of air = 85.88 Kg
  • Density of water = 1000 kg/m³
  • Volume of water = ?

Volume = mass / density

Volume of water = 85.88 / 1000

Volume of water = 8.588×10⁻² m³

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