We are given:
V1 = 100 mL P1 = 6 atm
V2 = x mL P2 = 1 atm
Solving for 'x' :
According to the Boyle's law:
P ∝ 1/V (pressure and volume are inversely proportional)
PV = k (where k is a constant)
since the constant k will be the same:
P1V1 = P2V2
replacing the variables
6 * 100 = 1 * x
x = 600 mL OR 0.6L
Therefore, the gas will have a volume of 600mL or 0.6L