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? a) 45 cubic cm b) 20 cubic cm c) 12.8 cubic cm

Answer : C) 12.8 cubic cm

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

If y is  inversely proportional to x then

where k is constant of proportionality

v is  inversely proportional to p then

the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds

Given : v= 24  and p = 16. We need to find out k

Multiply by 16 on both sides

k = 384

Now we find out the volume under a pressure of 30 pounds

= 12.8 cubic cm