4. Which of the following functions are equal to their complex conjugate? In each case, real constant. k is a (a) eikx + e-ikx (b) eikx - e-ikx (c) eikx (d) ekx + e-kx

5. (a) Deduce the point group of the follo species : OH (i) HO HO, (ü) Co4(Cp)4 (iüi) PF3CI2 (one Cl axial and one Cl equatorial)

Convert the following p-functions to molar concentrations: pMn = 0.135

A solution contains 0.097 M Ce3+, 1.55x10-3 M Ce4+, 1.55x10-3 M Mn2+, 0.097 M MnO4-, and 1.00 M HClO4 (F= 9.649 x 104 C/mol). a) Write a balanced net reaction that can occur between species in this solution. b) Calculate deltaG0 and K for the reaction. c) Calculate E and deltaG for the conditions given. Ce4+ + e- = Ce3+  E0= 1.70 V MnO4- + 8H+ + 5e- = Mn2+ + 4H2O   E0= 1.507 V

8:52 1 ll 5G E Question 24 of 25 Submit Construct the expression for Ksp for solid Ba3(PO4)2 in aqueous solution. Ba3(PO4)2(s) = 3 Ba2"(aq) + 2 PO,3-(aq) 1 Based on your knowledge of how the solid will dissociate in aqueous solution, use the tiles to form the expression. Ksp = 5 RESET [Ba3(PO4)2] 2[Ba3(PO4)2] 3[Ba3(POa)2] [Ba;(PO4)2]? [Ba*] 13 [Ba:(PO.)2] 3[Ba*] [Ba*] [Ba?*] 3[Ba?*] [Ba2*]° [PO,2] 2[PO,²] [PO,2-]? [PO,*] 2[PO.3] [PO,*-]? 3[PO,*-] [PO,³-]³

E10A.5(b) Assign the following molecules to point groups: (i) HF (ii) IF, (pentagonal bipyramid), (iii) CIF, (T-shaped), (iv) Fe,(CO), (3), (v) cubane, C,H, (vi) tetrafluorocubane, C,H̟F, (4). HO co Fe co F 3 4

For the aqueous [HgCl4]2- complex Kf=5.0 x1015 at 25°C.Suppose equal volumes of 0.0074M Hg(NO3)2  solution and 0.84M NaCl solution are mixed. Calculate the equilibrium molarity of aqueous Hg 2+ ion.Round your answer to 2 significant digits.

1. Calculate the stability field of gibbsite Al(OH)3 versus its aqueous species on the basis of the below listed four equilibrium equations. Al(OH)3(gibbsite) + 3H+ = A13+ + ЗН20() Ks0 = 109.36 Al" + H,O(1) = Al(OH)** + H* Al3* + 2H2O(1) = Al(OH)2* + 2H* Al³* + 4H2O(1) = Al(OH)4¯ + 4H* K. sl =104.99 K s,2 =10-10.13 K s,4 =10-22.05 2. Two solutions have the following activities: 0.02 mol L-' F and 0.01 mol L' Ca²+ 0.0001 molL-'F and 0.0002 mol L' Ca²+ i. ii. Calculate the saturation indices of the solutions versus fluorite (pKsp = 10.6) and how much fluorite would precipitate or dissolve in order to achieve equilibrium. -

○ Ni(H₂O)²+(aq) + 3SCN- (aq) = Ni(SCN)3(aq) + 6H₂0(1) (a) Write the Kc expression for this equilibrium. (b) Would there be a shift to the right or to the left if KSCN solution was added to a solution containing this equilibrium? Explain your answer.

(a) Identify the symmetry elements in ethene and in allene, and assign each molecule to a point group. (b) Consider the biphenyl molecule, Ph–Ph, in which different conformations are possible according to the value of the dihedral angle between the planes of the two benzene rings: if this angle is 0°, the molecule is planar, if it is 90°, the two rings are perpendicular to one another. For each of the following dihedral angles, identify the symmetry elements present and hence assign the point group: (i) 0°, (ii) 90°, (iii) 45°, (iv) 60°.