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

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

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Phúc Điền 3 years 2021-07-25T14:46:43+00:00 1 Answers 43 views 0

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  1. thanhcong
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    2021-07-25T14:48:15+00:00
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    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.

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