Question

The density of dry air at 20°C is 1.20 g/L

What is the mass of dry air, in kilograms, in a room that is 20.0 m by 12.0 m by 5.0m?
A) 1.00 X 10 ³ kg
B) 1.016 X 10⁵ kg
C) 1.22 X 10 ³ kg
D) 1.44 X 10 ³ kg

Answer 1

To find the mass of dry air in the room, multiply the volume of the room by the density of dry air. The mass of dry air in the room is approximately 1.44 imes 10^3 kg.

Step-by-step explanation:

To find the mass of dry air in the room, we need to calculate the volume of the room and then multiply it by the density of dry air.

The volume of the room is given as 20.0 m imes 12.0 m imes 5.0 m = 1200.0 m^3.

Using the given density of 1.20 g/L, we can convert it to kg/m^3 by dividing by 1000. So, the density of dry air is 1.20 g/L = 0.0012 kg/L = 0.0012 kg/1000 cm^3 = 0.0012 kg/m^3.

To calculate the mass, we multiply the volume by the density:

mass = volume imes density = 1200.0 m^3 imes 0.0012 kg/m^3 = 1.44 imes 10^3 kg.

Therefore, the mass of dry air in the room is approximately 1.44 imes 10^3 kg.