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3. What is the atomic mass of phosphorous if phosphorous-29 has a percent abundance of 35.5%, phosphorous-30 has a percent abundance of 42.6%, and phosphorous-31 has a percent abundance of 21.9%?

Answer :

Neetoo

Answer:

The atomic mass of phosphorus is 29.864 amu.

Explanation:

Given data:

Atomic mass of phosphorus = ?

Percent abundance of P-29 = 35.5%

percent abundance of P-30 = 42.6%

Percent abundance of P-31 = 21.9%

Solution:

Average atomic mass = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) + (abundance of 3rd isotope × its atomic mass  / 100

Average atomic mass  = (29×35.5)+(30×42.6) + (31×21.9) /100

Average atomic mass =  1029.5 + 1278 + 678.9/ 100

Average atomic mass  = 2986.4 / 100

Average atomic mass = 29.864 amu.

The atomic mass of phosphorus is 29.864 amu.

The atomic mass is the mass of an atom. Although the SI unit of mass is the kilogram, atomic mass is often expressed in the non-SI unit atomic mass unit or unified mass or dalton.

To calculate the atomic mass the step we should follow is as follows:-

  • Check the amount that is present in the earth crust
  • Multiply it with the type of it

Hence, the atomic mass of the phosphorus is:-

[tex]\frac{(29 * 35.5) \ + (30 * 42.6)\ + (31 * 21.9)}{100}[/tex]

After solving it,

[tex]\frac{029.5 + 1278 + 678.9}{100}[/tex]

= [tex]29.864 amu.[/tex]

Hence, the atomic mass of the Phosphorus is 29.864amu

For more information, refer to the link:-

https://brainly.com/question/1317964

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