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ap_chem:ideal_gas_law [2020/10/20 18:45] – created epix | ap_chem:ideal_gas_law [2020/10/22 17:35] (current) – [Formula] epix | ||
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* $n$ = # Particles | * $n$ = # Particles | ||
* $R$ = Gas law constant (($R$ = 8.31 J mol^-1K^1 = 0.0821 L atm mol^-1K^-1 = 62.4 L torr mol^-1K^-1)) | * $R$ = Gas law constant (($R$ = 8.31 J mol^-1K^1 = 0.0821 L atm mol^-1K^-1 = 62.4 L torr mol^-1K^-1)) | ||
- | * $T$ = Temperature **__MUST BE IN KELVIN | + | * $T$ = Temperature **__MUST BE A UNIT WITH AN ABSOLUTE ZERO TEMPERATURE |
$PV = nRT$ | $PV = nRT$ | ||
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$\frac{V}{n} = k$ is Avogadro' | $\frac{V}{n} = k$ is Avogadro' | ||
$\frac{P}{T} = k$ is Gay-Lussac' | $\frac{P}{T} = k$ is Gay-Lussac' | ||
+ | ===== Standard Conditions (STP) ===== | ||
+ | 1 mole of __any__ gas at STP condition will have a volume equal to **22.4 L**. Standard conditions are represented by the following: | ||
+ | * $P$ = 1 atm | ||
+ | * $T$ = 273 K | ||
===== Derivative Formulas ===== | ===== Derivative Formulas ===== | ||
It isn't necessarily required to know these ones as the ideal gas law covers them. | It isn't necessarily required to know these ones as the ideal gas law covers them. | ||
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==== Avogadro' | ==== Avogadro' | ||
$\frac{V_1}{n_1} = \frac{V_2}{n_2}$ | $\frac{V_1}{n_1} = \frac{V_2}{n_2}$ | ||
+ | ===== 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. |