What is the approximate mass of air in a living room 5.6 m x 3.6 m x 2.4 m?
It depends on the density of air, which is about 1.225 g/L at sea level and 15°C (Wiki)
Volume of room
V=5.6*3.6*2.4 m³
=48.384 m³
=48.384 m³ *1000 L/m³
Multiply volume and density
mass=volume*density
=48.384*1000 L * 1.225 g/L
=48.384*1000*1.225 g
Use your calculator to finish the calculation.
5927.04
To calculate the approximate mass of air in a living room, we can use the formula:
Mass = Density x Volume
Step 1: Determine the density of air.
The density of dry air at room temperature and normal atmospheric pressure is approximately 1.225 kg/m³.
Step 2: Calculate the volume of the living room.
The volume of the living room is given as:
Length (L) = 5.6 m
Width (W) = 3.6 m
Height (H) = 2.4 m
Volume = L x W x H = 5.6 m x 3.6 m x 2.4 m = 48.384 m³
Step 3: Calculate the mass of air.
Mass = Density x Volume = 1.225 kg/m³ x 48.384 m³
Calculating the mass gives us:
Mass = 59.24568 kg (approx.)
Therefore, the approximate mass of air in a living room with dimensions 5.6 m x 3.6 m x 2.4 m is approximately 59.25 kg.
To calculate the approximate mass of air in a living room, we need to know the density of air and the volume of the room.
Density is defined as mass divided by volume. The density of air is approximately 1.2 kg/m^3 at room temperature and atmospheric pressure.
Now, to calculate the mass of air in the living room, we multiply the density of air by the volume of the room:
Mass of air = Density of air x Volume of the room
Given:
- Density of air = 1.2 kg/m^3
- Volume of the room = 5.6 m x 3.6 m x 2.4 m
Now, we can substitute the values into the formula:
Mass of air = 1.2 kg/m^3 x (5.6 m x 3.6 m x 2.4 m)
Calculating the volume:
5.6 m x 3.6 m x 2.4 m = 48.384 m^3
Substituting the volume into the formula:
Mass of air = 1.2 kg/m^3 x 48.384 m^3
Calculating the mass:
Mass of air = 58.06 kg
Therefore, the approximate mass of air in a living room measuring 5.6 m x 3.6 m x 2.4 m is approximately 58.06 kg.