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The particle on a ring problem can be used to model electronic transitions in an aromatic hydrocarbon ring (benzene, naphthalene). For a particle on a ring, a particle of mass m is xed to move on a ring of radius a in the xy plane. The Hamiltonian of this system is H^ = ~ 2 2I d 2 d2 , I is the moment of inertia, I = ma 2 and is the angle of the x-axis in the xy plane, which ranges from 0 to 2. a) Find the energy eigenstates for the system. b) Compute the normalization constant for these eigenstates. c) What is the boundary condition for this problem? d) What does this restrict the allowed energies of the system to be? e) What is the degeneracy of the energy levels
At 295 K, Keq = 7.0 x 10-2 for the following equilibrium: NH4HS(s) = NH3(g) + H2S(g) What is the equilibrium partial pressure (in atm) of H2S
Consider the combustion reaction between 26.0 mL of liquid methanol (density=0.850g/mL) and 13.0 L of oxygen gas measured at STP. The products of the reaction are CO2(g) and H2O(g),
Balance the following redox reaction as it occurs in the basic solution. What are the coefficients for OH^- an ClO^- in the balanced equation? Cr(OH)4^- (aq) _ ClO^- (aq) arrow CrO4^2- (aq) + Cl^- (aq)
A sample of H2 gas has a pressure of 0.695 atm in a 269 mL flask. The sample is transferred to another container where it exerts a pressure of 0.330 atm. What is the volume (mL) of the second container at the same temperature
If a cylinder of NO has a volume of 20.00L and a pressure of 26.98 atm at 20 degrees Celcius, what is the mole fraction of NO knowing that there are 21.55moles of Nitrogen?
Solid iron(III) oxide reacts with solid aluminum to produce solid iron and solid aluminum oxide. If 50.0 grams of iron(III) oxide were mixed with 50.0 grams of aluminum, what maximum mass of iron metal could be produced?
how many years would it take for a 10-gram sample of U-238 to decrease to 2.5 grams?
At pH 6.00 and pE 2.10, what is the concentration of Fe2+ (mol/L) in equilibrium with Fe(OH)3?
Given a mean free path, comment on the appropriateness of using the ideal gas law to determine the number density of a sample at a critical point.
How would you prepare a 25.0% water in ethyl alcohol solution using 100.0 ml of ethyl alcohol (the density of alcohol is 0.7893 g/ml)
Calculate the molar mass (g/mol) of a gas whose root mean square speed is 796 m/s at 512 K.
How many grams of sodium lactate should be added to 1.00 L of 0.150 lactic acid ( or ) to form a buffer solution with = 4.10? Assume that no volume change occurs when the sodium lactate is added.
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