# The volume V of a gas varies inversely as pressure P is exerted. If V = 4 liters when P = 3.5 atmospheres, how do you find V when P = 2.5 atmospheres?

$V = 5.6 \text{ }$Liters

#### Explanation:

Let us set up the equation first for the
V = Volume
P = Pressure

Let K be the constant of proportionality

$V \propto \frac{1}{P}$

Equation becomes

$V = \frac{K}{P}$

Given
$V = 4$ when $P = 3.5$

$4 = \frac{K}{\frac{7}{2}}$

$K = 14$

Our equation with numerical value for K=14 is

$V = \frac{14}{P}$

$V = \frac{14}{2.5}$

$V = 5.6 \text{ }$Liters

God bless....I hope the explanation is useful.