Q1 (4 marks) (a) Calculate the mean activity coefficient and activities of ions in 2.35 mmol/kg Fe:0; aqueous solution at 298K. (3 marks) (b) Comment on value of mean activity coefficient. (1 mark) Given 1 AG = A G + RT In Q -- In AG =- RT INK A, H1 R TT K log yt--122|41", 1=1,z (6/b") , A=0.509 for solutions of two types of ions at molalities and b_ 1 = 2(b. 2? + b_2?)/b A,G=-V FE Nernst equation E = E RT In at 25C ENE" 0.0257 V In VF A.G=A,H-TAS at constant T and P (OG/T)p=-5 number density N = N/V; N: number of molecules , V: volume N= NNA M = MNA; M: molar mass, m: molecular mass PV = nRT REK NA 3/2 The Maxwell-Boltzmann distribution of speeds: f(v) = 411 Kohlrausch law : Am = A - K and Am = v.1.+v... Am : molar conductivity, A.: limiting molar conductivity, K: constant, c: molar concentration, V+ and v- : number of cations and anions per formula unit of electrolyte, v?e-Mv2/ART 21RT 1 and 1- : limiting molar conductivity of cations and anions. Am = k/c ,K: conductivity sau E, u= ze / 6 ana , E = A/ 1 S: drift speed, u: ion mobility, E: electric field, ze : charge of ion, n - viscosity, a: radius of ion , Ao: potential difference between electrodes, l;distance between electrodes conductivity and mobility 1. = zu F Arrhenius equation k= A e /RT k: rate constant, A : pre-exponential factor, Ea : activation energy order of reaction Products integrated rate law 0 [A] = [A].+kt 1 In TAL = -kt +kt [AL 2 * = a E *: induced dipole moment; a: polarizability: E: electric field Polarizability volume a' 41 Eo: permittivity of vacuum Lennard-Jones potential V=48{@)"-3)} : depth of the well; ro : separation at which V = 0;r:intermolecular distance Coulomb potential energy in vacuum: V = 2:07 ANET Taylor series expansions for x