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Chapter 1: Q57P (page 30)

Estimate the number of atoms in your body. (Hint: Based on what you know about biology and chemistry, what are the most common types of atom in your body? What is the mass of each type of atom? Appendix Dgives the atomic masses of different elements, measured in atomic mass units; you can find the value of an atomic mass unit, or 1 in Appendix E.)

Short Answer

Expert verified

Water is the most common type of atom found in the human and the mass of water is 2.99脳10-26kg and the total number of atoms is 7.02脳1027 atom.

Step by step solution

01

Identification of given data

The given data from Appendix D can be listed below,

  • The atomic mass of water is, A=18.015U
  • The value of amu is, 1amu=1.661脳10-27kg/ul
02

Concept/Significance of atomic mass

Protons and neutrons have almost similar masses, the number of protons plus neutrons in an atom corresponds to the number of atomic mass units (amu).

03

Determination of the most common type of atom in the human body and its mass

Water is the most common type of atom found in the human body.

Mass of water atom is given by,

m=(18.015u)1.661脳10-27kg/u=2.99脳10-28kg

Thus, mass of the most common type of atom is 2.99脳10-26kg.

Let's say a person has 70kg weight. So, the number of molecules is,

M=70kgm=70kg2.99脳10-28kg/molecule=2.34脳1027molecules

Water molecules contain 3 atoms, so the total number of atoms is,

n=3脳2.34脳1027=7.02脳1027atoms

Thus, the mass of water is 2.99脳10-26kg and the total number of atoms is 7.02脳1027 atoms .

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