Question

Choose the equation that models the following statement: The pressure, P, of a given mass of a gas in a closed cylinder varies inversely as the volume, V, of the cylinder.

Answer 1

The equation is PV = K, or P2V2 = P1V1.

Hope that helps!

Answer 2

`P=(k)/(V)`

Explanation:

It is given that the pressure, P, of the given mass of a gas in a closed cylinder varies inversely as the volume, V, of the cylinder.

Therefore, P ∞
`(1)/(V)`

So,
`P=(k)/(V)` where k is the constant of proportionality.

Hence, the equation that models the given statement is :

`P=(k)/(V)` or

PV = k