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
