The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

The answer is 12.8 cm³

The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p):

v = k/p

p * v = k (k - constant)

p1v1 = k

p2v2 = k

So, p1v1 = p2v2

v1 = 24 cm ³

p1 = 16 lb

v2 = ?

p2 = 30 lb

24 * 16 = x * 30

384 = x * 30

x = 384 / 30

x = 12.8 cm³