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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.

Respuesta :

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

Hope that helps!
JannetPalos

Answer:

[tex]P=\frac{k}{V}[/tex]

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 ∞[tex]\frac{1}{V}[/tex]

So, [tex]P=\frac{k}{V}[/tex] where k is the constant of proportionality.

Hence, the equation that models the given statement is :

[tex]P=\frac{k}{V}[/tex] or

PV = k

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