MHCHEM LaTex Test (Delete before Publishing)

\[ \ce{NH3 + H2O <=> NH4+ + OH-} \tag{(8)}\]
\[ K = \frac{\ce{[NH4+][OH-]}}{\ce{[NH3]^2}} = 1.8 \times 10^{-5} \tag{[11]}\]
\[ \ce{2NH3 + 2H2O <=> 2NH4+ + 2OH-} \tag{(9)}\]
\[ K = \frac{\ce{[NH4+]^2[OH-]^2}}{\ce{[NH3]^2}} = (1.8 \times 10^{-5})^2 = 3.2 \times 10^{-10} \tag{[12]}\]
\[ \ce{HgO(s) + 2S2O3^2- + H2O(l) <=> [Hg(S2O3)2]^2- + 2OH-} \tag{(10)}\]
\[ \ce{HgO(s) + H2O(l) <=> Hg^2+ + 2OH-} \tag{(11)}\]
\[ K_sp = \ce{[Hg^2+][OH-]^2} = 3.6 \times 10^{-26} \tag{[13]}\]
\[ \ce{Hg^2+ + 2S2O3^2- <=> [Hg(S2O3)2]^2-} \tag{(12)}\]
\[ K = \ce{[Hg(S2O3)2]^2-} = 1 \times 10^{32} \tag{[14]}\]

\[ \ce{HgO(s) + H2O(l) <=> Hg^2+(aq) + 2OH-(aq)} \tag{(13)}\]
\[ \ce{Hg^2+(aq) + 2S2O3^2-(aq) <=> [Hg(S2O3)2]^2-(aq)} \tag{(14)}\]
\[ \ce{HgO(s) + 2S2O3^2-(aq) + H2O(l) <=> [Hg(S2O3)2]^2-(aq) + 2OH-(aq)} \tag{(15)}\]
\[ K’ = \ce{[Hg(S2O3)2]^2-[OH-]^2} = \ce{[Hg(S2O3)2]^2-[Hg^2+][OH-]^2} \tag{[15]}\]
\[ \ce{[S2O3^2-]^2} \quad \ce{[S2O3^2-]^2[Hg^2+]} \tag{[15]}\]
\[ K’ = K \cdot K_{sp} = 3.6 \times 10^6 \tag{[16]}\]
\[ \Delta G^\circ = -RT \ln K = -2.303RT \log K \tag{[17]}\]
\[ \ce{aA + bB <=> cC + dD} \tag{(16)}\]
\[ \Delta G^\circ = c\Delta G^\circ_f(C) + d\Delta G^\circ_f(D) – a\Delta G^\circ_f(A) – b\Delta G^\circ_f(B) \tag{[18]}\]
\[ \ce{H2(g) + 1/8S8(s) <=> H2S(g)} \quad \Delta G^\circ = \Delta G^\circ_f(\ce{H2S(g)}) \tag{(17)}\]
\[ \ce{H2(g) + 1/8S8(s) <=> H2S(aq)} \quad \Delta G^\circ = \Delta G^\circ_f(\ce{H2S(aq)}) \tag{(18)}\]
\[ \ce{H2S(g) <=> H2S(aq)} \tag{(19)}\]

\[ \Delta G^\circ = \Delta G^\circ_f(\ce{H2S(aq)}) – \Delta G^\circ_f(\ce{H2S(g)}) = -27.83 – (-33.56)\ \text{kJ/mol} = 5.73\ \text{kJ/mol} \tag{[19]}\]
\[ K = e^{-\Delta G^\circ/RT} = e^{-5730\ \text{J/mol} / (8.314\ \text{J/mol·K} \times 298.15\ \text{K})} = 0.099 \tag{[20]}\]
\[ \ce{2Fe(s) + 3/2O2(g) <=> Fe2O3(s)} \tag{(20)}\]
\[ \ce{2Cu(s) + C(s) + 5/2O2(g) + H2(g) <=> Cu2CO3(OH)2(s)} \tag{(21)}\]
\[ \ce{Fe(s) + 1/8S8(s) + 5O2(g) + 6H2(g) <=> FeSO4·6H2O(s)} \tag{(22)}\]
\[ \ce{Cu(s) <=> Cu^2+(aq) + 2e^-} \tag{(23)}\]
\[ \ce{2H^+(aq) + 2e^- <=> H2(g)} \tag{(24)}\]
\[ \ce{Cu(s) + 2H^+(aq) <=> Cu^2+(aq) + H2(g)} \tag{(25)}\]
\[ \ce{1/8S8(s) + 2O2(g) + 2e^- <=> SO4^2-(aq)} \tag{(26)}\]
\[ \ce{H2(g) <=> 2H^+(aq) + 2e^-} \tag{(27)}\]
\[ \ce{1/8S8(s) + 2O2(g) + H2(g) <=> SO4^2-(aq) + 2H^+(aq)} \tag{(28)}\]
\[ \ce{H2(g) + 1/8S8(s) + 2O2(g) <=> H2SO4(l)} \tag{(29)}\]
\[ \ce{H2(g) + 1/8S8(s) + 2O2(g) <=> H2SO4(aq)} \tag{(30)}\]