Problema Solution
If a 5m^3 of gas at atomsphere is compressed until its volume 1.20 m^3. Calculate the percentage increase in pressure of the gas but the tempreature is not change
Answer provided by our tutors
let
V1 = 5 m^3 the initial volume
P1 = the initial pressure
V2 = 1.20 m^3 compressed volume
P2 = the pressure when the volume is V2
using Boyle's Law: The Pressure-Volume Law we have
P1*V1 = P2*V2
5P1 = 1.20P2 divide both sides by 1.20P1
P2/P1 = 5/1.20
the percentage increase in pressure of the gas is
(P2 - P1)/P1 = (P2/P1) - 1 = 5/1.20 - 1 = 19/6 = 3.167 or 316.7%
the percentage increase in pressure of the gas is 316.7% of the initial pressure.