# The volume V of a gas varies inversely as pressure P is exerted. If V = 4 liters when P = 3 atmospheres, how do you find V when P = 7 atmospheres?

##### 1 Answer

Aug 20, 2017

#### Answer:

#### Explanation:

#"the relationship is "Vprop1/P#

#"to convert to an equation multiply by k the constant of"#

#"variation"#

#rArrV=k/P#

#"to find k use the given condition"#

#V=4" when "P=3#

#V=k/PrArrk=PV=3xx4=12#

#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(V=12/P)color(white)(2/2)|)))#

#"when "P=7#

#rArrV=12/7" litres"#