Question

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?

Answer 1

`V=12/7"litres"`

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"`