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Exercises in Physical Chemistry I 
Supervisor: Dogukan H. Apaydin, dogukan.apaydin@jku.at 
Institute of Physical Chemistry, WS 14 
25th November 2014 
19 Gibbs Energy 
Methanol poisoning may cause blindness, coma and eventually death. One way to treat methanol poisoning is to cure the individual with ethanol. Explain in terms of Gibbs Energy why it is so. Imagine 1 mol of each substance and assume the reaction taking place in the body results in carbon dioxide and water. Take the human body temperature as 36.5ºC. 
20 Chemical Potential 
2 mol of a gas at 330K and 3.5 atm are compressed isothermally. Therefore the entropy of the system decreases with 25 J/K. Calculate the pressure of the sample at the final state and ΔG of the process.What is the chemical potential for this isothermal compression? 
21 Particle in a 1-D box 
A particle is enclosed in a linear 1D box (or quantum-well) with the length a. Between the walls of the box the potential is zero, outside it is infinite. 
i) Write down and explain profoundly the Schrödinger equation for such a problem. 
ii) Let's assume the length (a) a=1Å and (b) a=100Å. Calculate the eigenvalues of the particle for the first 3 energy states.

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Exercise sheet 6

  • 1. Exercises in Physical Chemistry I Supervisor: Dogukan H. Apaydin, dogukan.apaydin@jku.at Institute of Physical Chemistry, WS 14 25th November 2014 19 Gibbs Energy Methanol poisoning may cause blindness, coma and eventually death. One way to treat methanol poisoning is to cure the individual with ethanol. Explain in terms of Gibbs Energy why it is so. Imagine 1 mol of each substance and assume the reaction taking place in the body results in carbon dioxide and water. Take the human body temperature as 36.5ºC. 20 Chemical Potential 2 mol of a gas at 330K and 3.5 atm are compressed isothermally. Therefore the entropy of the system decreases with 25 J/K. Calculate the pressure of the sample at the final state and ΔG of the process.What is the chemical potential for this isothermal compression? 21 Particle in a 1-D box A particle is enclosed in a linear 1D box (or quantum-well) with the length a. Between the walls of the box the potential is zero, outside it is infinite. i) Write down and explain profoundly the Schrödinger equation for such a problem. ii) Let's assume the length (a) a=1Å and (b) a=100Å. Calculate the eigenvalues of the particle for the first 3 energy states.