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
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"#