next
Up: Back to the old Chemistry 2720 index

Chemistry 2720, Fall 1996 Final examination

You have three hours to complete this exam. You may not leave the examination hall in the first hour or in the last 10 minutes. The aggregate value of all questions on this exam is 100. Your answers must be recorded in the exam booklets provided. Please note the useful information at the end of the paper.

  1. Calculate the equilibrium constant for the reaction

    displaymath269

    at 298K. [5 marks]

  2. Pyruvate ions ( tex2html_wrap_inline271 ) react with glucose ( tex2html_wrap_inline273 ). The unbalanced half-reactions are tex2html_wrap_inline275 and tex2html_wrap_inline277 . The reaction medium is slightly acidic. Balance the reaction. [5 marks]
  3. Carbohydrates have the empirical formula tex2html_wrap_inline279 . Show that for the combustion of carbohydrates in a calorimeter tex2html_wrap_inline281 . Hint: The temperature in a calorimeter seldom rises very far above room temperature. At these temperatures, carbohydrates are solids and water is liquid. [4 marks]
  4. A typical adult male human must consume food with an energy equivalent of about 3000kcal/day to maintain a constant weight. Assume that the food energy is completely converted to heat and, furthermore, that the heat is generated at a constant rate during the day. The human body is mostly water (specific heat capacity tex2html_wrap_inline283 ). If the body were perfectly insulated, how long would it take before a 70kg adult male reached the normal boiling point of water from an initial temperature of tex2html_wrap_inline285 ? [6 marks]
  5. A key reaction in the synthesis of fats in living organisms is

    displaymath287

    The ratio of ATP to ADP is held fixed at a value of 10 by homeostatic mechanisms. The maximum observed ratio of glycerol-1-phosphate to glycerol is 770 at tex2html_wrap_inline289 C. tex2html_wrap_inline291 for ATP hydrolysis

    displaymath293

    is -31.0kJ/mol at tex2html_wrap_inline289 C. What is tex2html_wrap_inline291 for the direct reaction of glycerol with phosphate? [10 marks]

  6. Ribonuclease has two conformations, only one of which is active. A solution containing 1mmol/L of ribonuclease is prepared. At tex2html_wrap_inline299 C, the equilibrium concentrations of the active and inactive forms are, respectively, tex2html_wrap_inline301 and tex2html_wrap_inline303 mol/L. At tex2html_wrap_inline305 C, the equilibrium concentrations of the active and inactive forms are tex2html_wrap_inline307 and tex2html_wrap_inline309 mol/L. What is tex2html_wrap_inline311 for the process which converts the active form to its inactive conformation? [10 marks]
  7. An electrical generator is a heat engine. Suppose that a generator burns ethanol at a rate of 10L/h. The generator's combustion chamber runs at tex2html_wrap_inline313 and the temperature of the exhaust manifold is tex2html_wrap_inline315 . What is the maximum electrical power (measured in W, i.e. in J/s) which such a generator might produce? The density of ethanol is 790g/L and its molar mass is 46.069g/mol. [10 marks]
  8. The solubility of nickel (II) sulfide in water at 298K is tex2html_wrap_inline317 . What is the standard free energy of formation of solid nickel (II) sulfide? [10 marks]
  9. Many enzymes exist in solution as multimers, i.e. they assemble into tex2html_wrap_inline319 complexes:

    displaymath321

    These multimers are held together by weak intermolecular forces. Suppose that the molar mass of a certain enzyme has been determined to be 120kg/mol from crystal structure data. A solution of 8.00g of enzyme in 100mL of water is prepared. The osmotic pressure of this solution is tex2html_wrap_inline323 at 298K. Does this enzyme form multimers in solution? If so, what is the number of enzyme molecules in each complex? [10 marks]

  10. The following cell is operated in Lethbridge at 298K:

    displaymath325

    The concentration of zinc chloride in the left half-cell is 0.002mol/L. The right half-cell contains tex2html_wrap_inline327 nitric acid. Bubbles of nitrogen monoxide form on the inert platinum electrode. The pressure of NO in these bubbles is approximately 0.9atm (the ambient atmospheric pressure at our altitude). Assume that the NO gas behaves ideally. Calculate the voltage produced by this cell using Debye-Hückel theory. [10 marks]

    1. Propane is a gas at room temperature. A fuel cell operates on propane at a pressure of 1atm at 298K. Assume that propane is an ideal gas and calculate the maximum electrical work available from the fuel cell per cubic metre of propane oxidized if the oxygen pressure is 0.2atm and the carbon dioxide pressure is 0.03atm. Hint: Calculate the maximum work per mole first. [7 marks]
    2. Calculate the voltage produced by the fuel cell under the operating conditions described above. [3 marks]
  11. At reasonable temperatures, the noble gases behave like structureless spherical particles all of whose energy is translational kinetic energy, i.e. they behave like ideal gases. The partition function for particles which have only kinetic energy is

    displaymath329

    where V is the volume of the container in which the gas is held, h is Planck's constant, tex2html_wrap_inline335 , m is the mass of the particles (atoms), k is Boltzmann's constant and T is the temperature. Calculate the constant volume specific heat capacity of an ideal gas. Compare your answer to the experimental value of tex2html_wrap_inline343 . Hint: The identity tex2html_wrap_inline345 may be useful. [10 marks]

Useful formulas

displaymath347

Useful data

tex2html_wrap_inline349

tex2html_wrap_inline351

tex2html_wrap_inline353

To convert degrees Celcius to Kelvin, add 273.15.

tex2html_wrap_inline355

tex2html_wrap_inline357

tex2html_wrap_inline359

tex2html_wrap_inline361

tex2html_wrap_inline363

tabular133

tabular196


next
Up: Back to the old Chemistry 2720 index

Marc Roussel
Tue Jul 8 14:54:32 MDT 1997