課程名稱︰普通化學二
課程性質︰必修
課程教師︰陸駿逸
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰2014/6/18
考試時限（分鐘）：10:30~12~30
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
(1)(20pts)
(a)Qualitatively explain the relation between the molecular potential energy
and the van der Waal’s parameters a, b (for (P+an^2/V^2)(V-nb)=nRT ).
(b)For Ar, the potential energy can be approximated by VLG(r)=4ε[(σ/r)^12/(
σ/r)^6], whereσ=3.4*10^-10 m andε=1.65*10^-21 J. Estimate the magnitude of a
and b.
(c)Given that the critical temperature and pressure are Tc=8a/27Rb and
Pc=a/27b^2, estimate Tc and Pc. (R=8.31 Jmol^-1K^-1)
(2)(10pts)
The solubility of AgCl in 0.10M NaCl solution is 2.3*10^-7 gL^-1. What is its
molar solubility in the pure water? (M=143.3 for AgCl)
(3)(10pts)
Compare an ideal fuel cell and an ideal heat engine using the same fuel.
Which one works better? How much better?
(4)(10pts)
Given the half-reaction I2(s)+2e-→2I-(aq) for which E0 is 0.535V. Calculate
the reduction potential for an I2(s)|I- half-cell in which [I-] is 1.0*10^-5 M.
(5)(10pts)
Compare the relative acidity of the following sets of compounds:
(a)SeO2(OH)2 and SeO(OH)2,
(b)Cl(OH), Br(OH), and I(OH).
(6)(20pts)
(a)Suppose 0.100 mol of NaCH3COO is dissolved in enough water to make 1.00L
of solution. What is the pH of the solution?
(b)Given the same amount of salt as above, but now one adds enough water to
make 10000L of solution. What is the pH of the solution?
(7)(15pts)
Estimate the total collision number per seconds of the O2 and N2 molecules in
the room. (kB=1.38*10^-23 JK^-1)
(8)(20pts)
A particle with mass m is confined in a small box –L/2<x<L/2, within which
the potential is zero. Outside the range, the potential is very high(∞). The
matter wave of the particle obeys the time-independent Schrodinger equation.
Suppose an additional potential appears Vint(x,t)= αx^2cosωt where α is a
constant, and ω is the external scanning frequency. Consider the first four
energy levels. What is the selection rule? Which transitions are not allowed?