CH353
 Physical Chemistry I Spring 2013, Unique 52575 Homework, Week 8 
Homework,
week 8 Answer key 1. Based on
your general chemistry knowledge, determine whether the chemical
potential of the reactants in the following balanced equations is
greater than, less than, or equal to the chemical potential of the
products. You may assume each reaction is taking place under
standard conditions unless otherwise indicated. 2. Consider a system consisting of n_{1} moles of component 1 and n_{2} moles of component 2. Derive an expression for the Gibbs free energy of this system. 3. At 25˚C, the density of a 50% (m/m) solution of ethanol and water is 0.914 g cm^{3}. Given that the partial molar volume of water in the solution is 17.4 cm^{3} mol^{1}, determine the partial molar volume of the ethanol. 4. What proportions of hexane and heptane should be mixed by mole fraction to achieve the greatest entropy of mixing? 5. The molar enthalpy of fusion of ice at 273.15 K and 1.0 atm is 6010 J mol1. The change in volume caused by the fusion of ice under the same conditions is 1.63 cm3 mol1. You may assume that these values remain constant as a function of pressure. Estimate the melting temperature of ice at 1000 atm.

