Utilisateur:Romary/Formules chimiques en Tex

solubilité

${\overrightarrow {\rm {\leftarrow }}}{\qquad \qquad \qquad }$

$\mathrm {AgCl} {\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }\mathrm {Ag^{+}Cl^{-}}$

	$AgCl{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }Ag^{+}+Cl^{-}$
Espèce chimique	AgCl	Ag⁺	Cl^-
t=0	s	0	0,1
Équilibre	0	s	s+0,1

$K_{s}=\left[Ag^{+}\right].\left[Cl^{-}\right]$

$K_{s}=s'.(s+0,1)=1,8.10^{-10}\,$

$K_{s}=0,1s=1,8.10^{-10}\,$

$s=1,8.10^{-9}mol.L^{-1}\,$

$1,8.10^{-9}mol.L^{-1}\,<<0.1$

$K_{s}=\left[Ag^{+}\right].\left[Cl^{-}\right]$

$K_{s}=s.s=s^{2}=1,8.10^{-10}\,$

$s=1,35.10^{-5}mol.L^{-1}\,$

	$AgCl{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }Ag^{+}+Cl^{-}$
Espèce chimique	AgCl	Ag⁺	Cl^-
t=0	s	0	0
Équilibre	0	s	s

$X_{\alpha }Y_{\beta }(solide){\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }\alpha X^{\beta +}(aqueux)+\beta Y^{\alpha -}(aqueux)$

	$X_{\alpha }Y_{\beta }{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }\alpha X^{\beta +}+\beta Y^{\alpha -}$
Espèce chimique	X_αY_β	X^β	Y^α
t=0	s	0	0
Équilibre	0	αs	βs

$K_{s}=\left[X^{\beta +}\right]^{\alpha }.\left[Y^{\alpha -}\right]^{\beta }$

$K_{s}=(\alpha .s)^{\alpha }.(\beta .s)^{\beta }\,$

$K_{s}=(\alpha )^{\alpha }.(\beta .s)^{\beta }.s^{\alpha +\beta }\,$

$Ag_{2}CO_{3}{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }2Ag^{+}+CO_{3}^{2-}$

	$Ag_{2}CO_{3}{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }2Ag^{+}+CO_{3}^{2-}$
Espèce chimique	Ag₂CO₃	Ag⁺	CO₃^2-
t=0	s	0	0
Équilibre	0	2s	s

$K_{s}=\left[Ag^{+}\right]^{2}.\left[CO_{3}^{2-}\right]=8,1.10^{-18}$

$K_{s}=(2s)^{2}.(s)=4s^{3}=8,1.10-{-18}\,$

$K_{s}={\sqrt[{3}]{8,1.10-{18}}}$

$s=1,26.10^{-6}mol.l^{-1}\,$

$M=167,9g\,$

$s_{m}=1,26.10^{-6}\times 167,9=2,1.10^{-4}g.L^{-1}$

$CuBr{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }Cu^{+}+Br^{-}$

	$CuBr{\qquad }{\overrightarrow {\rm {\leftarrow }}}{\qquad }Cu^{+}+Br^{-}$
Espèce chimique	CuBr	Cu⁺	Br^-
t=0	s	0	0
Équilibre	0	s	s

$K_{s}=\left[Cu^{+}\right].\left[Br^{-}\right]$

$K_{s}=s.s=s^{2}=5,3.10^{-9}\,$

$s={\sqrt {5,3.10^{-9}}}=7,2.10^{-5}mol.L^{-1}$

$M_{CuBr}=63,55+79,90=143,45g\,$

$s_{m}=1,03.10^{-2}g.L^{-1}\,$

$K={\frac {a_{X^{\beta +}(aqueux)}^{\alpha }.a_{Y^{\alpha -}(aqueux)}^{\beta }}{a_{X_{\alpha }Y_{\beta }(solide)}}}$

$a_{X_{\alpha }Y_{\beta }(solide)}=1$

$a_{X^{\beta +}(aqueux)}=\left[X^{\beta +}\right]^{\alpha }$

$a_{Y^{\alpha -}(aqueux)}^{\beta }=\left[Y^{\alpha -}\right]^{\beta }$

$K_{s}=\left[X^{\beta +}\right]^{\alpha }.\left[Y^{\alpha -}\right]^{\beta }$

{\begin{matrix}&{}_{\rm {\rightarrow }}&\\ZnS+Fe_{2}(SO_{4})_{3}&{\overrightarrow {\qquad \qquad \qquad }}&ZnSO_{4}+2FeSO_{4}+S\ (solide)\ \\\end{matrix}}

{\begin{matrix}&V&=&{\rm {valeur\ vrai\ (ou\ conventionnellement\ vrai)\ }}\end{matrix}}

{\begin{matrix}&{\rm {air\ (source\ de\ diazote)}}+{\rm {dihydrog{\grave {e}}ne}}+{\rm {eau}}&{\overrightarrow {\qquad \qquad }}&{\rm {ammoniac}}+{\rm {dioxyde\ de\ carbone}}\end{matrix}}

{\begin{matrix}&\\CH_{4}+N_{2}+H_{2}O&{\overrightarrow {\qquad }}&NH_{3}+3H_{2}\\\end{matrix}}

{\begin{matrix}&\\CH_{4}+H_{2}O&{\overrightarrow {\qquad }}&CO+3H_{2}\\\end{matrix}}

{\begin{matrix}&\\CO+H_{2}O&{\overrightarrow {\qquad }}&CO_{2}+H_{2}\\\end{matrix}}

{\begin{matrix}&\\CH_{4}+H_{2}O&{\overrightarrow {\qquad }}&CO+3H_{2}\\\end{matrix}}

{\begin{matrix}&\\N_{2}+3H_{2}&{\overrightarrow {\qquad }}&2NH_{3}&{\rm {\Delta \ H_{298}^{0}}}=-92,2{\rm {KJ/mole}}\\\end{matrix}}

{\begin{matrix}&{}_{\rm {texte\,{\acute {e}}crit\,au\,dessus}}&\\H_{2}O+OH^{-}&{\overrightarrow {\qquad \qquad \qquad \qquad }}&NO_{3}\\\end{matrix}}

{\begin{matrix}&\\2H_{2}O(liquide)&{\overrightarrow {\qquad }}&O_{2}(gaz)+4H^{+}(aqueux)+4e^{-}\ \\\end{matrix}}

{\begin{matrix}&\\4H_{2}O(liquide)+4e^{-}{\overrightarrow {\qquad }}&2H_{2}(gaz)+4OH^{-}(aqueux)\ \\\end{matrix}}

{\begin{matrix}&\\2H_{2}O(liquide){\overrightarrow {\qquad }}&2H_{2}(gaz)+O_{2}(gaz)\ \\\end{matrix}}

{\begin{matrix}&\\2H_{2}&{\overrightarrow {\qquad }}&2H^{+}+2e^{-}\ \\\end{matrix}}

{\begin{matrix}&\\O_{2}+4H^{+}+4e^{-}&{\overrightarrow {\qquad }}&2H_{2}O\ \\\end{matrix}}

{\begin{matrix}&\\CH_{3}OH&{\overrightarrow {\qquad }}&CO+2H_{2}\ \\\end{matrix}}

{\begin{matrix}&\\2CO+O_{2}&{\overrightarrow {\qquad }}&2CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\2H_{2}+O_{2}{\overrightarrow {\qquad }}&2H_{2}O\ \\\end{matrix}}

{\begin{matrix}&\\Al_{2}O_{3}&{\overrightarrow {\qquad }}&2Al^{3+}+3O^{2-}\\\end{matrix}}

{\begin{matrix}&\\2Al^{3+}+6e^{-}&{\overrightarrow {\qquad }}&2Al^{0}\ m{\acute {e}}tal\\\end{matrix}}

{\begin{matrix}&\\2Al^{0}&{\overrightarrow {\qquad }}&2Al^{3+}+3e^{-}\ \\\end{matrix}}

{\begin{matrix}&\\6O^{2-}+3C&{\overrightarrow {\qquad }}&3CO_{2}+6e^{-}\ m{\acute {e}}tal\\\end{matrix}}

{\begin{matrix}&\\Al_{2}O_{3}(solution)+3C(solide)&{\overrightarrow {\qquad }}&4Al^{0}(liquide)+3CO_{2}(gaz)\ m{\acute {e}}tal\\\end{matrix}}

{\begin{matrix}&\\Al^{0}(solution)+3CO_{2}(gaz)&{\overrightarrow {\qquad }}&Al_{2}O_{3}(solution)+3CO(gaz)\ m{\acute {e}}tal\\\end{matrix}}

{\begin{matrix}&\\2Al^{0}(m{\acute {e}}tal)+3O_{2}(gaz)&{\overrightarrow {\qquad }}&Al_{2}O_{3}\\\end{matrix}}

{\begin{matrix}&\\4Al^{0}+6H_{2}O+3O_{2}&{\overrightarrow {\qquad }}&Al(OH)_{3}\\\end{matrix}}

{\begin{matrix}&\\4F^{-}+Al_{2}O_{2}F_{4}^{-}+C&{\overrightarrow {\qquad }}&4e^{-}+2AlF_{4}^{-}+CO_{2}\\\end{matrix}}

{\begin{matrix}&\\4F^{-}+Al_{2}O_{2}F_{4}^{-}+2C&{\overrightarrow {\qquad }}&4e^{-}+2AlF_{4}^{-}+2CO\\\end{matrix}}

{\begin{matrix}&\\AlF_{4}^{-}+3e^{-}&{\overrightarrow {\qquad }}&2Al(liquide)+4F^{-}\\\end{matrix}}

{\begin{matrix}&\\Na^{+}+3C&{\overrightarrow {\qquad }}&Na\\\end{matrix}}

{\begin{matrix}&\\4Al+3C{\overrightarrow {\qquad }}&Al_{4}C_{3}\\\end{matrix}}

{\begin{matrix}&\\3O_{2}+6H_{2}O+12e^{-}&{\overrightarrow {\qquad }}&12OH^{-}\\\end{matrix}}

{\begin{matrix}&\\6H^{+}6e^{-}&{\overrightarrow {\qquad }}&3H_{2}\\\end{matrix}}

{\begin{matrix}&\\4Fe+3O_{2}&{\overrightarrow {\qquad }}&2FeO_{3}\\\end{matrix}}

{\begin{matrix}&\\2Fe&{\overrightarrow {\qquad }}&2Fe^{3+}+6e^{-}\\\end{matrix}}

{\begin{matrix}&\\3O_{2}+12e^{-}&{\overrightarrow {\qquad }}&6O^{2-}\\\end{matrix}}

{\begin{matrix}&\\6H_{3}O^{+}+6e^{-}&{\overrightarrow {\qquad }}&6H_{2}O+3H_{2}\\\end{matrix}}

{\begin{matrix}&\\C+1/2O_{2}&{\overrightarrow {\qquad }}&CO\ \\\end{matrix}}

{\begin{matrix}&\\C+O_{2}&{\overrightarrow {\qquad }}&CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\C+CO_{2}&{\overrightarrow {\qquad }}&2CO\ \\\end{matrix}}

{\begin{matrix}&\\Fe_{2}O_{3}+CO&{\overrightarrow {\qquad }}&2Fe+3CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\Fe_{2}O_{3}{\overrightarrow {\qquad }}&Fe_{3}O_{4}{\overrightarrow {\qquad }}&FeO{\overrightarrow {\qquad }}&Fe\ \\\end{matrix}}

{\begin{matrix}&\\Fe_{2}O_{3}+CO&{\overrightarrow {\qquad }}&Fe_{3}O_{4}+CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\Fe_{3}O_{4}+CO&{\overrightarrow {\qquad }}&FeO+CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\FeO+CO&{\overrightarrow {\qquad }}&Fe+CO_{2}\ \\\end{matrix}}

{\begin{matrix}&\\ZnS+3/2O_{2}&{\overrightarrow {\qquad }}&ZnO+SO_{2}&{\rm {\Delta \ H}}=-445\ {\rm {KJ/mole\ de\ ZnS\ entre\ 800\ et\ 1000^{\circ }\ C}}\\\end{matrix}}

{\begin{matrix}&\\ZnO+C&{\overrightarrow {\qquad }}&Zn+CO\ \\\end{matrix}}

{\begin{matrix}&\\ZnO+CO&{\overrightarrow {\qquad }}&Zn+CO_{2}\ \\\end{matrix}}

{\begin{matrix}&{}_{\rm {T\ >\ 90^{\circ }\ C}}&\\ZnS+Fe_{2}(SO_{4})_{3}&{\overrightarrow {\qquad \qquad \qquad }}&ZnSO_{4}+2FeSO_{4}+S\ (solide)\ \\\end{matrix}}