Question

The volume of a gas varies inversely as applied pressure if the pressure acting on a 45m^3 of gas is lowered from 3 atmospheres to 2 atmospheres what new volume does the gas occupy

Answer 1

if p = 3, v = 45
if p = 2 , v = x

3/2 = x/45
2x = 135
x = 67.5

or

V = k(1/p)
for x = 3, v = 45
45 = k/3
k = 135
then V = 135/p
when p = 2
V = 135/2 = 67.5