Question

A pump separates out Argon atoms from all other atoms in air. If a bottle contains 8.34 x 10^22 atoms of argon what is the mass of the air in the bottle? Can someone please help me learn how to convert this thing?

Answer 1

55.4g

Step-by-step explanation:

Given parameters:

Number of atoms in the bottle = 8.34 x 10²²atoms

Unknown:

Mass of air in the bottle = ?

Solution:

The given specie is argon.

Molecular mass of Argon = 40g/mol

To find the mass of this Argon ;

Mass = number of moles x molecular mass;

Let us find the number of moles of the Argon;

6.02 x 10²³ atoms can be found in 1 mole of any substance

8.34 x 10²² atoms will give
`(8.34 x 10^(22) )/(6.02 x 10^(23) )` mole of Argon

= 0.139mole of Argon

So;

Mass of argon = 40g/mol x 0.139mole = 55.4g