3. (40 points) (a) (10/40 points) Derive the alpha (Qi) expressions for NH4+ (with pKa = 9.3, as noted above). Please show the steps for your derivations. It is not enough just to provide the Oi expressions. (b) (20/40 points) Now, derive the equations governing the variations in [NH4+], [NH3], [H], and [OH-] versus pH, and sketch the corresponding lines on the following empty figure panel, assuming a Ct value of 1 x 10-2 M. Be sure to label the line for each species, as well as the location of the pKa for the NH4+/NH3 equilibrium. Variation log[NHa*), log(NH3), log[H], and log(OH) vs. pH pH 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 -1 -2 -3 -4 -5 -6 log[Concentration] -7 -8 -9 -10 -11 -12 -13 -14 (c) (10/40 points) What would the pH of a solution be if CT = 1 x 10-2 mol/L of the NH4+/NH3 was added in the form of NH4+? What if it was added in the form of NH3? Assume in each case that you are adding the respective species to pure water. Clearly state any assumptions you make in obtaining your solutions. (Note: You can use either the graphical or algebraic approach to determine these pH values. The choice is yours.) 3. (40 points) (a) (10/40 points) Derive the alpha (Qi) expressions for NH4+ (with pKa = 9.3, as noted above). Please show the steps for your derivations. It is not enough just to provide the Oi expressions. (b) (20/40 points) Now, derive the equations governing the variations in [NH4+], [NH3], [H], and [OH-] versus pH, and sketch the corresponding lines on the following empty figure panel, assuming a Ct value of 1 x 10-2 M. Be sure to label the line for each species, as well as the location of the pKa for the NH4+/NH3 equilibrium. Variation log[NHa*), log(NH3), log[H], and log(OH) vs. pH pH 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 -1 -2 -3 -4 -5 -6 log[Concentration] -7 -8 -9 -10 -11 -12 -13 -14 (c) (10/40 points) What would the pH of a solution be if CT = 1 x 10-2 mol/L of the NH4+/NH3 was added in the form of NH4+? What if it was added in the form of NH3? Assume in each case that you are adding the respective species to pure water. Clearly state any assumptions you make in obtaining your solutions. (Note: You can use either the graphical or algebraic approach to determine these pH values. The choice is yours.)