Problem 1Boron hydrides BXxHXy were developed by Alfred Stock; William Lipscomb won the 1976 Nobel Prize for elucidating their bonding. (a) Using mass percent of boron and molar mass, derive the molecular formulae of two boron hydrides: A is a liquid at 25 °C, 83.1 % B, M=65.1 g mol−1; B is a solid, 88.5 % B, M=122.2 g mol−1. (b) The styx code counts B–H–B bridges (s), three-centre BBB bonds (t), two-centre B–B bonds (y) and BHX2 groups (x); BX2HX6 is 2002. Propose a structure for tetraborane BX4HX10 with styx = 4012. (c) A compound BX4CClX6O has two types of B atoms (tetrahedral : trigonal planar = 1:3) and a C≡O triple bond; suggest a structure. (d) From D(B−Cl)=443, D(Cl−Cl)=242 kJ mol−1, ΔfH∘(BClX3(g))=−403 and ΔfH∘(BX2ClX4(g))=−489 kJ mol−1, estimate the B–B bond dissociation enthalpy in BX2ClX4. (e) In a reaction scheme starting from BX2HX6, give the boron-containing products: 1 = BX2HX6 + NaOH/then CHX3OH, HX+; 2 = product of BX2HX6 + CX6HX6, OX2 chemistry identified by cryoscopy (ΔTf=0.205 °C for 0.312 g in 25.0 g benzene, Kf=5.12 kg K mol−1); 3 = BX2HX6 + ClX2; 4 = BX2HX6 + NHX3 (1:1 adduct); 5 = thermal product of 4, b.p. 55 °C.Solutions: 1
Problem 2Square-planar Pt(II) complexes substitute with retention of stereochemistry, and the rate of substitution of X by Y depends on the ligand trans to X (trans effect): CNX−>HX−>NOX2X−,IX−>BrX−,ClX−>pyridine,NHX3,OHX−,HX2O. (a) Draw all stereoisomers of square-planar Pt(py)(NHX3)BrCl (py = pyridine). (b) Write reaction schemes, via intermediates, to prepare each stereoisomer of [Pt(NHX3)(NOX2)ClX2]X− in water starting from PtClX4X2−, NHX3, NOX2X−, exploiting the trans effect. (c) Substitution follows Rate=kS[MLX3X]+kY[Y][MLX3X]; for [py]≫[Pt], Rate=kobs[Pt]. For the displacement of ClX− by pyridine in methanol at 25 °C: [py] = 0.122, 0.061, 0.030 mol dm−3 give kobs = 7.20×10−4, 3.45×10−4, 1.75×10−4 s−1. Find kS and kY and decide which pathway dominates at [py]=0.10 mol dm−3. (d) A gold nanoparticle of diameter 13 nm carries 90 oligonucleotide groups, 98 % bound to a Pt(IV) complex; a 1.0 cm3 vessel contains 1.0×10−6 mol dm−3 in Pt (density of Au = 19.3 g cm−3). Calculate the masses of Pt and Au used.Solutions: 1