What is the mass of the air in a room that has dimensions of 10m x 30m x 4m?
density of air at one atm and room temp is about that of water /800 or
1000 kg/m^3/800 = about 1.25 kg/m^3
1.25 * 10 * 30 * 4 = 1500 kg
To find the mass of the air in a room, we need to know the density of air and the volume of the room.
The density of air is typically around 1.225 kg/m³ at sea level and 25 degrees Celsius.
To calculate the volume of the room, we can multiply the length, width, and height of the room:
Volume = length x width x height
= 10m x 30m x 4m
= 1200 m³
Now, to find the mass, we can use the formula:
Mass = Density x Volume
Using the density of air mentioned above, we can calculate the mass:
Mass = 1.225 kg/m³ x 1200 m³
= 1470 kg
Therefore, the mass of the air in a room with dimensions of 10m x 30m x 4m is approximately 1470 kg.
To calculate the mass of the air in a room, we need to multiply the density of air by its volume. The density of air varies with temperature and pressure, but at approximately room temperature (25°C or 298K) and standard atmospheric pressure (1 atm or 101.3 kPa), the density of dry air is around 1.2 kg/m^3.
The volume of the room is given as 10m x 30m x 4m = 1200 cubic meters.
Now, let's calculate the mass of the air in the room:
Mass = Density x Volume
Mass = 1.2 kg/m^3 x 1200 m^3
Mass = 1440 kg
Therefore, the mass of the air in the room is approximately 1440 kilograms.