3. [10 marks] We've covered the definition of Gibbs free energy, Helmholtz free energy, entropy, and...
Starting with the definition of Gibbs free energy, the definition of enthalpy, the definition of entropy and the definition of work, show that dG=0 for a reversible process but dG<0 for an irreversible process.
1. Starting with the definition of the Helmholtz Energy: A U-TS , determine an expression for AA is under constant (a) isothermal or (b) isoentropic conditions. 2. Starting with the definition of the Gibbs Free Energy: G-H-TS determine an expression for AG is under constant (a) isothermal or (b) isoentropic conditions.
5.(a) Define the term Gibbs free energy (2 marks) (b) Give a mathematical expression of the entropy according to (0 statistical thermodynamics and () classical thermodynamics. (4 marks) (c) Based on a statistical thermodynamics argument explain why the entropy of a gas increases when heat is supplied to it. (3 marks) (d) Define the chemical potential uA of a gas Ag) of partial pressure PA present in a mixture of gases. (2 marks) The products of the oxygen (02) is...
3. Derive the following relationship between the Helmholtz free energy F and the partition function Z for a system of N particles: (a) Starting with the thermodynamic definition F-U-TS, substitute the statistical mechanics results which give U and S in terms of occupation numbers n, state energies e and the most probable number of microstates t* to find, (b) Write out texplicitly in terms of occupation numbers using Stirling's approxima- tion (check the Lagrange multiplier derivation of the Boltzmann distribution)...
Actions that damage a company and its employees should be stamped out, everyone would agree. But should the people responsible be stamped out, too? HBR CASE STUDY The Reign of Zero Tolerance by Ben Gerson "Mr. Pemberton?" manager. The guards had radioed her that the "Yes, that's me," Simon replied distractedly, his back turned. target wasn't putting up much resistance. "Your personal belongings will be messen The two burly gentlemen who had suddenly gered to your home later today," Sallie...