The pH of water is of great importance to environmental and chemical engineers. engineers and chemists. It is related to processes ranging from corrosion of pipes to acid rain. The pH is related to the hydrogen ion hydrogen ion concentration by means of the equation: pH = -log10 [H] The five equations that follow govern the concentrations of a mixture of carbon dioxide and water for a closed system. K K, [H][HCO3] [CO,] [H+][CO; [HCO3] K, = [H (OH) C, = [CO,]+[HCO3]+[CO}] Alk = [HCO3]+2(CO3+1+[OH"]-[H*] M = where Alk = alkalinity, cT = total inorganic carbon, and K are equilibrium coefficients. The five unknowns are; (CO2) = carbon dioxide, [HCO3-) = bicarbonate, [CO32-) = carbonate, (H+) = hydrogen ion, and [OH-] = hydroxyl ion. Solve for the five unknowns given that. Alk = 2 x 10-3, cT = 3 x 10-3, K1 =10-6.3, and K2 = 10-10.3, and Kw = 10-14. Also, calculate the pH of the solutions