Agas has a volume of 450.0 ml. if the temperature is held constant, what volume would the gas occupy if the pressure were
a. doubled?
b. reduced to one-fourth of its original value?

a)

= 225 mL

Explanation:

Using Boyle's law of gases;

The volume of a fixed mass of a gas is inversely proportional to its pressure at constant temperature.

Therefore;

P1V1 = P2V2

in this case; let the initial pressure be P;

Therefore; V1 = 450 mL, P1 = P, V2 = ? and P2 = 2P

Thus;

V2 = P1V1/P2

     = (P×450)/ (2P)

     = 225 mL

Therefore, the new volume will be 225 mL

b) Answer;

=1800 mL

Explanation;

Let the initial pressure be P;

Therefore; V1 = 450 mL, P1 = P, V2 = ? and P2 = 1/4P

Thus;

V2 = P1V1/P2

     = (P×450)/(0.25P)

      = 1800 mL

Thus, when the pressure is reduced to one-fourth of its original, the new volume will be 1800 mL.