Gas Laws

Boyles

P1V1=P2V2P1V1=P2V2

Pressure and volume have an inverse relationship (when one doubles, the other halves)


Charles

V1T1=V2T2\frac{V1}{T1}=\frac{V2}{T2}

Volume and temperature have a direct relationship; when you heat a gas, it expands (cool gas = contracts)


Gay Lussac

P1T1=P2T2\frac{P1}{T1}=\frac{P2}{T2}

Pressure and Temperature have a direct relationship; when you increase one, the other also increases (increase the pressure and the temperature will rise)


Combined

P1V1T1=P2V2T2\frac{P1V1}{T1}=\frac{P2V2}{T2}

A combination of all laws above. With five known variables, it is possible to fine the missing one.


Ideal gas law

PV=nRTPV=nRT

R is a constant being 8.314LkPaKmol\frac{LkPa}{Kmol}

Using three given variables, it is possible to find the fourth.


Avogadro’s

Vm=VnV_{m}=\frac{V}{n}

at a specific pressure and temperature, the same amount of moles will always be in the same amount of liters


Law of combining volumes

Gases will always react with each other to form whole number ratios


Ex.

2H2 + (1)O2 2H2O

2mol H2 + 1mol O22mol H2O

2mL H2 + 1mL O22mL H2O

2 : 1 : 2

You can multiply the ratios:

4ml H2 + 2mL O2 4mol H2O [this was x2]


Therefore: the coefficients of an equation can be used to find the ratios of moles or liters.