Question

Outer space is often described as a vacuum, but there is always some matter present. In the space 400 km above Earth's surface, there is as little as 1.58 x 10-14 g of matter in a 500.0 cm3 volume of space. Based on this data, what is the density of the matter in space?

Answer 1

The density of matter in space 400 km above Earth's surface is 3.16 x 10-11 kg/m3.

Step-by-step explanation:

The density of matter in space can be calculated by dividing the mass of matter by the volume it occupies. In this case, the mass of matter in a 500.0 cm3 volume of space is 1.58 x 10-14 g. The density can be calculated as:

Density = Mass / Volume

Plugging in the values: Density = (1.58 x 10-14 g) / (500.0 cm3)

Converting the units to kg and m3 for easier calculations, we get:

Density = (1.58 x 10-14 kg) / (0.0005 m3)

Simplifying the expression gives us a density of 3.16 x 10-11 kg/m3.