The pressure, p, of a gas, varies inversely with its volume, v. pressure is measured in units of pa. suppose that a particular amount of a gas is initially at a pressure of 84 pa at a volume of 36 l. if the volume is expanded to 216 l, what will the new pressure be? a. 6 pab. 14 pac. 216 pad. 504 pathe answer is "b. 14 pa"!

The pressure, P, of a gas, varies inversely with its volume, V

∴ PV = k    where k is constant

The  pressure is 84 Pa at a volume of 36 L.

∴ at P = 84  ⇒⇒⇒  V = 36

∴ K = PV = 84 * 36 = 3,024  ⇒⇒(1)

If the volume is expanded to 216 L, what will the new pressure be?
We need to find P  at  V = 216
From the equation (1) ⇒⇒⇒ PV = 3024
substitute with V = 216
∴ 216 P = 3024
∴ P = 3024/216 = 14 

The correct answer is option B. 14 Pa

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