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Boyle’s Law

Boyle’s law states that at constant Temperature, the volume of a fixed mass of gas is inversly proportional to the pressure.

V∝ \frac{1}{P} (at const. T)

V: Volume, T: Temperature, P: pressure

V = k \frac{1}{P}     (k is constant)

PV = const.

so we can conclude that the if we changed the pressure of gas its voulme is changed accordingly:

{V_1}{P_1} = {V_2}{P_2}


If the pressure doubled, the volume is halfed.

P_1 V_1 = P_2V_2 eq. 1

P_2 = 2P_1 eq.2

by using 2 in 1

P_1 V_1 = 2P_1 V_2

V_1 = 2V_2

V_2 = \frac{1}{2} V_1

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