The plunger on a bicycle pump with a 400 mL volume cylinder is
depressed such that the pressure in the pump increases from 1.00 atm to
6.00 atm. If the hose from the pump is plugged, what will be the volume
of the air inside the pump? *

This is a required question

The answer to your question is V2 = 66.7 ml

Explanation:

Data

Volume 1 = V1 = 400 ml

Pressure 1 = P1 = 1 atm

Volume 2 = V2 = ?

Pressure 2 = P2 = 6 atm

Process

1.- To solve this problem use Boyle's law

                     P1V1 = P2V2

-solve for V2

                     V2 = P1V1 / P2

-Substitution

                      V2 = (1)(400) / 6

-Simplification

                      V2 = 400 / 6

-Result

                      V2 = 66.7 ml