# The Gas Laws

- Created by: Anastacia Hannay
- Created on: 30-10-17 04:04

**Boyle's Law**

Boyle's law states that for a given amount of gas held at a constant temperature; volume (V) inversely varies with pressure (P)

**Equations for Boyle's law include:**

P x V = Constant (k)

P1 x V1 = P2 x V2

**Worked Example**

An observation balloon is filled with helium gas to a volume of 40L at a pressure of 1 atm. Calculate the volume when the balloon rises to an altitude where the pressure is 0.2 atm, assuming the temperature remains constant.

*Solution*

P1 x V1 = P2 x V2

Where V1 = 40L V2 = ? P1 = 1 atm P2 = 0.2 atm

So, 40 x 1 = 0.2 x V2

V2 = 40 x 1 / 0.2

= 200L

*Therefore the volume of the balloon is 2 x 10^2L at the higher altitude*

**Charle's Law**

Charle's Law states that a given amount of gas at constant temperature, the volume of the gas is inversely proportional to its pressure.

Basically if the volume of a fixed amount of gas at constant temperature is halved, the pressure will double.

**Equations for Charle's law include:**

Volume / Temperature = Constant (k)

V1 / T1 = V2 / T2

**Unit Conversions:**

Temperatue is expressed in Kelvin (K)

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