Answers created by Truong-Son N.

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• In the reaction of 2-methylcyclopentadiene in #"HBr"#, which product is formed? (Hint: it should be the 1,4-addition product.)
  
• What were Rutherford's primary observations in his gold foil experiment, and how did he explain them? Describe how he modeled the atom.
  
• What is the rms speed of He atoms at 295 K?
  
• What is the reduction half-reaction for the unbalanced redox equation #Cr_2O_7^(2-) + NH_4^+ -> Cr_2O_3 + N_2#?
  
• What is a possible set of four quantum numbers (n,l,ml,ms) in order, for the highest energy electron in gallium?
  
• How do you solve for v in #s=vt#?
  
• Can nonpolar molecules have polar bonds?
  
• Are #N_2# and #N_2^+# paramagnetic or diamagnetic? Which one has the stronger bond?
  
• The tetrahedron enclosed by the coordinates planes and the plane 2x+y+z=4, how do you find the volume?
  
• How do you use the first and second derivatives to sketch #y = (x+2)(25 -x^2)#?
  
• How do you find pOH if [H+] is given?
  
• How do you find the Limit of #(x^2)/(lnx)# as x approaches infinity?
  
• How do you simplify # (1+1/x)/(1/x)#?
  
• What is going on with the alkyl migration step in the Schmidt reaction mechanism on a ketone?
  
• How do you balance this reaction? #"K"_2"Cr"_2"O"_7(aq) + "H"_2"SO"_4(aq) + "H"_2"S"(aq) -> "Cr"_2("SO"_4)_3(aq) + "H"_2"O"(l) + "S"(s) + "K"_2"SO"_4(aq)#
  
• Question #8f16a
  
• How do you name benzene derivatives?
  
• Why isn't #"Be"^-#s electron configuration #1s^2 2s^3#?
  
• What is the measurement 111.009 mm rounded off to four significant digits?
  
• Why do pi bonds restrict rotation?
  
• What are some examples of halogens?
  
• What is the aldol condensation mechanism?
  
• Using the identity #cos(A+B) = cosAcosB - sinAsinB#, how do you prove that #1/4cos(3A) = cos^3A - 3/4cosA#?
  
• How do you write the equilibrium expression for hydrolysis of a Lewis acidic metal cation?
  
• Find the rate constant for parallel or competitive reactions?
  
• Why are single bonds weaker than double?
  
• What does t-butyl mean?
  
• Atomic Radius/Ionization energy question?
  
• Question #27e4d
  
• What does the symbol #Delta# in a chemical equation mean?
  
• If the professor holds the true value of #121# #"m/s"# with #3.68%# error, then which of the following students' results is accurate enough with respect to the professor?
  
• What is the mechanism for the hydroxymercuration-demercuration of n-butyne?
  
• How do you multiply #((1, -4), (4, -1))# and #((3, -2), (0, -3))#?
  
• What functional group resembles a hydroxyl group?
  
• What is an oxidative addition reaction?
  
• How do you solve for concentration knowing absorbance?
  
• What is 16.00 kPa in atm?
  
• Is it okay to have a #"pH"# above #14#?? Apparently #"1.05 M"# #"NaOH"# has a #"pH"# above #14# at #25^@ "C"#.
  
• The vd for a certain gas is 70. If the molecular formula for this gas is #("CO")_x#, then what is #x#?
  
• What is the integral of #xln^2(x+3)#?
  
• What is the percent by mass of hydrogen in the compound #C_2H_6#?
  
• A mixture of two gases has a total pressure of 5.7 atm. If one gas has a partial pressure of 4.1 atm, what is the partial pressure of the other gas?
  
• Can you predict the coordination number of an ion from the formula of an ionic compound?
  
• How do pi bonds work?
  
• Why are alkenes used to make polymers?
  
• How do you draw #(1)# 3-fluoro-4,5-dimethyl-1-heptyne and #(2)# 2-chloro-4-ethyl-1,3-cyclohexadiene?
  
• Is there a direct proportionality between base strength and ionic radius for anions in aprotic solvents?
  
• What is the pKa of #CH_3COOH# and #H_3PO_4#?
  
• What is the volume of #"0.220 mols"# of carbon monoxide gas found at STP?
  
• Which electron in cobalt is easiest to remove first?
  
• Starting from oxo compounds, #("I")# how do you draw the mechanism for production of 9-iminofluorene? #("II")# What is the mechanism of reacting acetone with p-methylaniline in trace acid?
  
• What is the difference between oxidation number and oxidation state?
  
• How are single covalent bonds made?
  
• How do you simplify #abs(-3/2) #?
  
• Let #vec(x)# be a vector, such that #vec(x) = (−1, 1), " and let " R(θ) = [(costheta, -sintheta), (sintheta, costheta )]#, that is Rotation Operator. For #theta=3/4pi# find #vec(y) = R(theta)vec(x)#? Make a sketch showing x, y, and θ?
  
• How do you evaluate #a^2 - (3c)# if #a = 9, b= 3#, and #c = 1/3#?
  
• How do you convert 45°C to Fahrenheit?
  
• What is the antiderivative of #(sqrt(1 + sqrt((1+sqrt(x)))dx#?
  
• What happens to the temperature of a material when it is undergoing a change of state?
  
• How do you start from benzene to synthesize this aldol condensation product?
  
• What is the geometry and hybridization of #"PF"_6^(-)#? What orbitals are used to hybridize?
  
• Describe the formation of single, double, and triple bonds by orbital overlap?
  
• Given #(u^4 + 3u + 6)^(1/2)# how do you find the limit as u approaches -2?
  
• What are some examples of theoretical chemistry?
  
• What does salt do to ice?
  
• How do you change pOH to pH?
  
• Where is potential energy seen in chemistry?
  
• If the volume of the container is #"1.00 L"#, what is the change in mols of gas required to change the pressure from #"1.00 atm"# to #"0.920 atm"# if the temperature was also dropped from #25^@ "C"# to #22^@ "C"#? (#R = "0.082057 L"cdot"atm/mol"cdot"K"#)
  
• What is the connection between a question that has just been asked and the occasional note within the question that someone else asked for an answer some time ago?
  
• What torque would have to be applied to a rod with a length of #4 m# and a mass of #3 kg# to change its horizontal spin by a frequency of #2 Hz# over #3 s#?
  
• A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #5/3 Hz# to #3/4 Hz#, by how much will the centripetal force applied by the tracks change by?
  
• What is the projection of #<< 3, -6, 2 >># onto #<< 3, 2, 1 >>#?
  
• How do you determine if you have an electrophile or a nucleophile?
  
• How do you find the Maclaurin Series for #sin(3x^2)#?
  
• Why can single bonds rotate?
  
• Is Benzene an alcohol?
  
• How do you integrate #int x^2 / (x-1)^3# using partial fractions?
  
• If a hose filling up a cylindrical pool with a radius of 5 ft at 28 cubic feet per minute, how fast is the depth of the pool water increasing?
  
• Why is sn2 concerted?
  
• In the compound, #CaNa[Fe(CN)_6]#, what ligands are in the coordination sphere?
  
• Which is not a good nucleophile, phenoxide ion or acetate ion?
  
• Will any hybridized orbital be lower in energy than all unhybridized orbitals?
  
• How can you learn f block elements?
  
• Can anyone help me understand why so many of the questions about springs use the units #kgs^-2# rather than #Nm^-1# for the spring constant?
  
• How do you write #625^(3/4)# in radical form?
  
• Which of the following molecule and geometry combinations is incorrect?
  
• How does hydrohalogenation mechanisms work?
  
• Question #f2a5b
  
• Why is entropy equal to #q# for a reversible process? What is the difference between reversible and irreversible?
  
• The #pKa# of butyric acid #"HBut"# is 4.7. How do you calculate #K_b# for the butyrate ion #"But"^-#?
  
• How do you integrate #int(x+1)/((2x-4)(x+3)(x-7))# using partial fractions?
  
• What type of reaction is #CH_3CH_3 + Cl_2 → CH_3CH_2Cl + HCl#?
  
• What is isothermal expansion of an ideal gas?
  
• Which electrons get removed to form #"Ar"^+# and #"Ar"^(2+)#?
  
• Is it possible to measure simultaneously the x and y positions of a particle exactly?
  
• Which of these follows the Arrhenius definition?
  
• Question #aa3cf
  
• What is a homogeneous catalyst? What are the advantages/disadvantages of it over heterogeneous catalysts?
  
• For the reaction #2A(g) -> B(g) + C(s)#, find the rate constant at constant temperature and volume?
  
• What is the volume occupied by 51.0 g of ammonia (#NH_3#) gas at STP?
  
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