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

Answer:

55.4g

                                           

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 $\frac{8.34 x 10^{22} }{6.02 x 10^{23} }$  mole of Argon

                                                        = 0.139mole of Argon

So;

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