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Ideal Gas Law

Formula

  • $P$ = Pressure
  • $V$ = Volume
  • $n$ = # Particles
  • $R$ = Gas law constant 1)
  • $T$ = Temperature MUST BE IN KELVIN (K)

$PV = nRT$

$PV = k$2) is Boyle's law, it is the only inverse relationship of the ideal gas law. $\frac{V}{T} = k$ is Charles's law, it is a direct relationship. $\frac{V}{n} = k$ is Avogadro's law, it is also a direct relation. $\frac{P}{T} = k$ is Gay-Lussac's law, it is once again a direct relationship.

Derivative Formulas

It isn't necessarily required to know these ones as the ideal gas law covers them.

Combined Gas Law

$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$

This can be simplified to (depending on if certain variables are equal on both sides)

  1. $\frac{P_1}{T_1} = \frac{P_2}{T_2}$
  2. $P_1V_1 = P_2V_2$
  3. $\frac{V_1}{T_1} = \frac{V_2}{T_2}$

Avogadro's Law

$\frac{V_1}{n_1} = \frac{V_2}{n_2}$

Molar Mass Shortcut

“Molar Mass kitty cat”

all good cats put $dRT$ over their $P$

$M = \frac{dRT}{P}$ where $M$ is the molar mass, $d$ is the density, and $R$, $T$, and $P$ represent values from the ideal gas law.

1)
$R$ = 8.31 J mol^-1K^1 = 0.0821 L atm mol^-1K^-1 = 62.4 L torr mol^-1K^-1
2)
k is the law's constant

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