课程名称︰普通化学甲下 课程性质︰化学系大一必修0 课程教师︰陆骏逸 开课学院：理学院 开课系所︰化学系 考试日期（年月日）︰09/06/19 考试时限（分钟）：10:20-12:30 130分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.(10pts) Write down the definitions of (i)Lewis acid/base, (ii)Bronsted-Lowry acid/base 2.(10pts) Zinc oxide is amphoteric, (i)Write the balanced chemical equation for its reaction with the HCl(aq) (ii)Write the balanced chemical equation for its reaction with the NaOH(aq) 3.(10pts) Predict the relative magnitudes of the pKa's for carboxylic acid CH3CH2COOH, a ketone CH3CH2COCH3, and an amide CH3CH2CONH2 4.(10pts) The cations in the solution which contains 0.10M Hg2(NO3)2 and 0.05M Pb(NO3)2 are to be separated by adding KI. Given that Ksp(PbI2)=1.4*10^-8 and Ksp(Hg2I2)=1.2*10^-28. What is the optimized concerntration of KI which will cause the Hg22+ to precipitate fully and Pb2+ to remain almost entirely in the solution. 5.(15pts) Describe simply how does the action potential propagate. 6.(15pts) Compute the equlibrium constant for the reaction Hg2+(aq)+Hg(l)→Hg22+(aq) where the following half reactions are given 2Hg2+(aq)+2e-→Hg22+(aq) ε0=0.905V Hg22+(aq)+2e-→2Hg(l) ε0=0.796V 7.(30pts) Van der Waals' equation(P+an^2/V^2)(V-nb)=nRT contains two parameters a and b. Suppose that the molecule is of the spherical shape with the size(radius) 3A.The molecules attraction has the range of 10A, and the attraction potential energy is of the order of 10^-20J. (i)Estimate the orders of the magnitude of a and b (ii)Estimate the order of the magnitude of the critical temperature (below which there is a liquid/gas transition) 8.(30pts) Consider the 2px 2py 2pz orbitals of the B atom in BH3. The three functions form a three dimensional representation of the symmetry (sub)group C3={E,C3,C3^2}. (i)Write down the three matrices of the symmetry operations. (ii)What is the character vector of this representation? (iii)With the proper combination of the orbitals, one can reduce it to several irreducible representations. Decompose the character vector into the contributions from the irreducible representations to determine whether it contains the (one dimensional)E representation with the character (1,ε,ε*)(Here ε=exp(2iπ/3).) (iv)Use the projection operator th find out the function (as the linear combination of 2px 2py 2pz) which forms this representation. --

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