Estimate the volume of a piece of molecular cloud that has the same amount of water as your body.

Question:

The water molecules now in your body were once part of a molecular cloud. Only about onemillionth of the mass of a molecular cloud is in the form of water molecules, and the mass density of such a cloud is roughly 2.0*10-21 g/cm^3.

Estimate the volume of a piece of molecular cloud that has the same amount of water as your body.

Answer:

The volume of cloud that has the same density as the amount of water in our body is 1.4*10²⁵ cm³

Explanation:

Here, we have mass density of cloud = 2.0*10⁻²¹ g/cm^3

Density = Mass/Volume

Volume = Mass/Density = If the mass is 40 kg and the body is made up of 70% by mass of water, we have

28 kg water = 28000 g

Therefore the Volume = 28 kg / 2.0*10⁻²¹ g/cm^3 = 1.4*10¹⁹ m³ = 1.4*10²⁵ cm³.

Therefore, the volume of cloud that has the same density as the amount of water in our body = 1.4*10²⁵ cm³.