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2. (15 pts) Under several days of heavy cloud cover in eutrophic lakes, photosynthesis is reduced resulting in low dissolved oxygen and high carbon dioxide levels. Based on Henry's Law and a relative free energy of reaction (AG") and enthalpy (AH) between the aqueous and gaseous phase (Table 3.1), determine if the lake is off-gassing CO2 or absorbing CO2 at 20C, if the measured aqueous phase CO2 is 6.0 mg/L (MW 44 gm/mol). Assume a CO2 concentration in the atmosphere of 350 ppm. (CO24 --CO2gas) stance State Table 3.11 Standard Free Energies and Enthalpies of Formation at 25C Sub AGA AH. Sub stance State kJ/mol J/mol Cr? aq -553.6 -542.8 HO Caco, 3 -1128.76 -1206.87 HO Car, 3 - 1175.6 -1228.0 HS Ca(OH), 3 -896.76 -986.6 Hus CaSO4 - 1322.0 -14345 HS CH, 8 -50.79 -74.6 H SO CH,CH, -32.89 -84.67 Mga* CH,COOH ag - 399.6 -488.4 Mg(OH)2 CH,C00 aq -369.41 -486.0 Na CH,CH,OH -174.8 -277.7 "NH, CHO aq -917.22 NH 0 8 NOS - 23.4 04 -131.3 ag -167,20 NO -393.51 O, 8 -41292 -386.23 O. ag " ag -527.80 -278.8 ag F -89 ag ag -692.00 ag --699 H.CO, ag 8 aq 8 ag 1 ag 5 aq & 09 ag ag aq 8 AG Kimal -237.18 -228.60 12.05 -33.4 -27.87 -690.0 -454.8 -833.5 -261.9 -164 -26.65 -79.37 - 37.2 - 111.34 0 16.32 -157.2 79.5 -744.63 -147.1 - 2013 . kJ/mol -285.80 -241.8 - 17.6 - 20.6 -39.3 -814 -466.9 -924.5 -240.1 -45.9 -80.83 -132.5 -1046 --2074 0 - 11.21 -230.0 30.1 -909.3 - 153.9 -206,0 0 6.9 -394.38 -677.10 -332.6 $ SO 42 ag ag aq -48.5 ZA: Zas Fo? Fe) -78.87 -4.6 HCO; -586.85 -623 * a aqueous solid, I liquid Note: I kcal 4.184 - exist, as this can make a significant difference