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Hydrogen sulfide gas is an extremely toxic (and smelly) gas that can form from anaerobic digestion...

Hydrogen sulfide gas is an extremely toxic (and smelly) gas that can form from anaerobic digestion (e.g. in sewer pipes). The ΔGf° of H2S (g) and H2S (aq) are -33.4 kJ/mol and -27.87 kJ/mol, respectively so that KH = 9.32 atm/(mole/L) at 25 C. At concentrations above 0.01 ppm in the air, the rotten egg smell is first noticeable. At concentrations above 2 ppm, the gas becomes toxic. Calculate the pH of water in equilibrium with H2S at 0.01 ppm and 2 ppm.

H2S gas will dissolve into water according to:

H2S (g) = H2S (aq)                                         KH = 9.32 atm/mol/L

H2S (aq) will also dissociate as a weak acid according to:

H2S = H+ + HS-                                                Ka1 = 10-7

HS- = H+ + S2-                                                  Ka2 = 10-11

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