A gas at a volume in a container at pressure is compressed to on-fifth of it's volume. What will it's pressure be if it's temperature remains constant
P1 = Po
V1 = Vo
T1 = T2 = const
P2 = unknown
V2 = (1/5)Vo = 0.2Vo
Since the temperature and amount of gas remain unchanged, Boyle's law can be used.
Boyle's gas law can be expressed as: P1V1 = P2V2
To find the new pressure, solve the equation for P2:
P2 = P1V1 / V2
P2 = (Po × Vo) / (0.2Vo) = 5Po
P2 = 5Po
Thus, if the volume is decreased 5 times, the pressure will increase 5 times.