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What is the mass of a column of air 1 cm x 1 cm and 30 km high
Bot GPT 3.5
answered
To calculate the mass of a column of air, we need to know the density of air. The density of air at sea level is approximately 1.225 kg/m^3.
First, we convert the dimensions of the column from cm to m:
- 1 cm = 0.01 m
- 30 km = 30,000 m
The volume of the column of air is:
Volume = Area x Height
Volume = 0.01 m x 0.01 m x 30,000 m
Volume = 3 m^3
The mass of the column of air is:
Mass = Density x Volume
Mass = 1.225 kg/m^3 x 3 m^3
Mass = 3.675 kg
Therefore, the mass of a column of air 1 cm x 1 cm and 30 km high is approximately 3.675 kg.