19. For [Fe(H₂O)₆] ²⁺ , draw an energy diagram showing d orbital splitting, predict the number of unpaired electrons (6 pts)

a. 238 92 U decays to generate 234 90Th

b. Electron capture of 20180Hg to produce 20179Au

17. Please draw the completely MO energy-level diagram of N2. (6pts) and it’s molecular electron configuration (2pts), HOMO and LUMO of N2 (2pts). For N2- , N2, N2+ which has the highest bond energy(1pts) and which will show paramagnetism property (1pts)

18. Please write the electron configuration of first row transition metal of periodic table (10 pts)

20. Lactic acid (HC3H5O3) can be accumulated in muscle tissue during exertion. Please calculate the value of Ka for this acid in a 0.100 M aqueous solution. ( lactic acid is 3.7% dissociated in 0.100 M) (6pts)

(c) (5%) What is the Gibbs free energy of freezing water at -10°C? (Molar melting enthalpy of ice: △mH° = 5619 J mol -1at–10°C, △mH° = 6008 J mol-¹ at 0°C; molar heat capacity: ice Cp,m=37.66 J mol-¹K-¹, water Cp,m-75.38 J mol¹K¹)

(b) (5%) The entropy of change for the isolated system upon freezing includes the entropy change of the surrounding as the entropy change of the water. Since the heat capacity of surrounding is large, the heat evolved by the water on freezing us absorbed by the surrounding with only an infinitesimal change in temperature. Calculate the entropy change of the surrounding! What is the change in the entropy of the universe?

(a) (5%) Calculate the change in the entropy when 1 mol of liquid water at -10°C changes to ice at -10°C. Explain your result!

(d) (4%) Sketch the graph ofthe lineweaver-Nurk equation. Use a coordinate system in which (1/[S]0) is on the horizontal axis and (1/V0) is on the vertical axis. Show the resulting graph is a line that intersects the horizontal axis at (-1/Km) and the vertical axis at (1/Vmax)

(c) (4%) Show that the Michaelis-Menten equation can be written in the form (1/V0)=(Km/Vmax)(1/[S]0) + (1/Vmax) (This formula is know as the Lineweaver-Burk equation and shows that there is a linear relationship between (1/V0) and (1/[S]0).)

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