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?

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Answer 1 · 2016-04-29T13:46:03

#V=5.6" "#Liters

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

Let K be the constant of proportionality

#V prop 1/P#

Equation becomes

#V=K/P#

Given
#V=4# when #P=3.5#

#4=K/(7/2)#

#K=14#

Our equation with numerical value for K=14 is

#V=14/P#

#V=14/2.5#

#V=5.6" "#Liters

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