Tabel Hukum Gas Turunan Persamaan PV = nRT

Kamis, 22 Maret 2018

Pilih variabel yang dibuat konstan
RTetapan Gas
L.atm/(mol.K)
(P₁.V₁) / (n₁.T₁) = (P₂.V₂) / (n₂.T₂)
PTekanan (atm)
VVolume (L)
nJumlah Zat (mol)
TTemperatur (K)
Rumus yang berlaku untuk gas-gas:


NoVariabel
Konstan
Selain R
Hubungan Variabel Gas-Gas
dalam Pers. $PV = nRT$
atau $R = \dfrac{P.V}{n.T}$
1$\dfrac{P_1.V_1}{n_1.T_1} = \dfrac{P_2.V_2}{n_2.T_2}$
2$P_1=P_2$
dan
$V_1=V_2$
$\dfrac{\color{blue}{\bcancel{\color{black}{P_1}}}\color{red}{\bcancel{\color{black}{V_1}}}}{n_1.T_1} =\dfrac{\color{blue}{\bcancel{\color{black}{P_2}}}\color{red}{\bcancel{\color{black}{V_2}}}}{n_2.T_2}$ $n_1.T_1=n_2.T_2$
3$P_1=P_2$
dan
$n_1=n_2$
$\dfrac{\color{blue}{\bcancel{\color{black}{P_1}}}\color{black}.V_1}{\color{red}{\bcancel{\color{black}{n_1}}}\color{black}{T_1}} =\dfrac{\color{blue}{\bcancel{\color{black}{P_2}}}\color{black}.V_2}{\color{red}{\bcancel{\color{black}{n_2}}}\color{black}{T_2}}$ Hukum Charles
$\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}$
4$P_1=P_2$
dan
$T_1=T_2$
$\dfrac{\color{blue}{\bcancel{\color{black}{P_1}}}\color{black}.V_1}{n_1.\color{red}{\bcancel{\color{black}{T_1}}}} =\dfrac{\color{blue}{\bcancel{\color{black}{P_2}}}\color{black}.V_2}{n_2.\color{red}{\bcancel{\color{black}{T_2}}}}$ Hukum Avogadro
$\dfrac{V_1}{n_1} = \dfrac{V_2}{n_2}$
5$V_1=V_2$
dan
$n_1=n_2$
$\dfrac{P_1\color{blue}{\bcancel{\color{black}{V_1}}}}{\color{red}{\bcancel{\color{black}{n_1}}}\color{black}{T_1}} =\dfrac{P_2\color{blue}{\bcancel{\color{black}{V_2}}}}{\color{red}{\bcancel{\color{black}{n_2}}}\color{black}{T_2}}$ Hukum Gay-Lussac
$\dfrac{P_1}{T_1} = \dfrac{P_2}{T_2}$
6$V_1=V_2$
dan
$T_1=T_2$
$\dfrac{P_1\color{blue}{\bcancel{\color{black}{V_1}}}}{n_1.\color{red}{\bcancel{\color{black}{T_1}}}} =\dfrac{P_2\color{blue}{\bcancel{\color{black}{V_2}}}}{n_2.\color{red}{\bcancel{\color{black}{T_2}}}}$ Hukum Diver
$\dfrac{P_1}{n_1} = \dfrac{P_2}{n_2}$
7$n_1=n_2$
dan
$T_1=T_2$
$\dfrac{P_1.V_1}{\color{blue}{\bcancel{\color{black}{n_1}}}\color{red}{\bcancel{\color{black}{T_1}}}} = \dfrac{P_2.V_2}{\color{blue}{\bcancel{\color{black}{n_2}}}\color{red}{\bcancel{\color{black}{T_2}}}}$ Hukum Boyle
$P_1.V_1=P_2.V_2$
$P$ = tekanan (atm); $V$ = Volume (L); $n$ = Jumlah zat (mol);
$R$ = tetapan gas (0,08206 $\frac{atm.L}{mol.K}$); T = Temperatur (K)
8$P_1=P_2$ $\dfrac{\color{blue}{\bcancel{\color{black}{P_1}}}.\color{black}V_1}{n_1.T_1} =\dfrac{\color{blue}{\bcancel{\color{black}{P_2}}}.\color{black}V_2}{n_2.T_2}$ $\dfrac{V_1}{n_1.T_1} = \dfrac{V_2}{n_2.T_2}$
9$V_1=V_2$ $\dfrac{P_1\color{blue}{\bcancel{\color{black}{V_1}}}}{n_1.T_1} =\dfrac{P_2\color{blue}{\bcancel{\color{black}{V_2}}}}{n_2.T_2}$ $\dfrac{P_1}{n_1.T_1} = \dfrac{P_2}{n_2.T_2}$
10$n_1=n_2$ $\dfrac{P_1.V_1}{\color{red}{\bcancel{\color{black}{n_1}}}\color{black}{T_1}} =\dfrac{P_2.V_2}{\color{red}{\bcancel{\color{black}{n_2}}}\color{black}{T_2}}$ $\dfrac{P_1.V_1}{T_1} = \dfrac{P_2.V_2}{T_2}$
11$T_1=T_2$ $\dfrac{P_1.V_1}{n_1.\color{red}{\bcancel{\color{black}{T_1}}}} =\dfrac{P_2.V_2}{n_2.\color{red}{\bcancel{\color{black}{T_2}}}}$ $\dfrac{P_1.V_1}{n_1} = \dfrac{P_2.V_2}{n_2}$


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