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

Answer:

$P=\frac{k}{V}$

Step-by-step 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 ∞$\frac{1}{V}$

So, $P=\frac{k}{V}$ where k is the constant of proportionality.

Hence, the equation that models the given statement is :

$P=\frac{k}{V}$ or

PV = k

Answer 2

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

Hope that helps!