課程名稱︰普通化學丙
課程性質︰必修
課程教師︰張大釗
開課系所︰醫學院
考試時間︰2005/11/16 10:20~12:30
試題 :
1.Name the following compounds(10pts)
Fe(OH)3:_____,Li3N____
NaClO3:______,N2O4:____
KH2PO4:______
2.Balance the following reactions and determine if a precipitate is formed.
a)ammonium sulfide and copper(II) nitrate in water(4pts)
b)[Cr2O7]2- + NO→Cr3+ + NO3-(using the half reaction method,6pts)
(註：怕看不懂:二鉻酸根+一氧化氮→3價鉻+硝酸根)
3.Calculate the mole and the weight of 5.0*10^22 molecules of sodium
bromide.(10pts)
4.A 0.32g sample of the sodium chloride and potassium cholride mixture
dissolved in water. It took 45ml of 0.1M silver nitrate to completely
precipitate all the chloride present. What is the composition(by mass
percent) of the mixture?(10pts)
_
5.Based on Heisenberg's uncertainty principle, ΔP˙Δx≧h/2, derive another
_ _
uncertainty principle of ΔE˙Δt≧h/2. This form of ΔE˙Δt≧h/2 is
important in determining the lifetime of excited state in spectroscopy.
Assuming the width of the absorption line(Δυ) is 0.1GHz(10^9/s),
calculate its corresponding lifetime.(12pts)
6.Derive the root mean square velocity(Vrms) from the ideal gas law(PV=nRT).
Begin with P=F/A in a L^3 cubic box, where F is force and A is area.(10pts)
7.Calculate the average kinetic energies and the Vrms of the NH3 and HCl
molecules at 273K.(10pts)
8.Explain the mean free path? Order the mean free path for He, Ne, Ar, and Xe
at 27'C and 1 atm. Note that the collision rate is given as
_________
Z=4(N/V)d^2˙√(πRT/M), where d is the diameter of the molecule.(10pts)
9.Determine the dipole moments of NOF and NO2F from the measurements of
1.81D and 0.47D and explain why?(6pts)
10.Give the hybridization for each carbon atom of CH4 , C2H4, and C3H4.
Are all four hydrogen atoms of each molecule in the same plane? Why?(6pts)
11.(a)Use MO diagram to predict the bond order and magnetism of F2 molecule.
(b)Does F2 molecule gave a lower or higher first ionization energy than F
atom? Why?(10pts)
12.Ozone (O3) is important to life on earth by absorbing harmful uv radiation
from the sun.(a) Draw all the possible Lewis structures for the O3 molucule.
(b)Give the formal charge of each atom.(c) Determine which is the most
stable structure and explain why?(10pts)
13.Quantum mechanixal model provides the possible energy levels(HΨ=EΨ) and
the probability of the electron in the orbital(∫Ψ*Ψdx).(24%)
Use MO-LCAO method to calculate resonance energy and electron density of
the ground state and first excited state of O3 molecule(OA=OB—OC) by using
variation method. Note that there are two delocalized π-electrons.
H=ΣHi and Ψ=ΠΦi, where Φi=ΣCijΨij and assuming <ΨiJ︱Hi︱ΨiJ'>=α
if J=J', <ΨiJ︱Hi︱ΨiJ'>=β if J and J' are neighbor, <ΨiJ︱Hi︱ΨiJ'>=0
otherwise.
(a)Give the reason why we can use sucular equation from wave equation to
calculate the resonance evergy.(b)Use secular equation to calculate the
resonance energy and draw evergy diagram.(c)Derive the wavefunction.
(d)Calculate electron density of the ground state and first excited state
of O3 molecule.
14.Based on the three quantum numbers obtained from wave equation,(a)construct
a periodic table for the elements of the first 54 elements,(b)locate the
following atoms,8Χ,16Χ,24Χ,32Χ,42Χ,53Χ(數字是在Χ左下角就是原子序)
(c)which atoms have the quantum number l=1?(10pts)
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