UNIVERSITY OF DAR ES SALAAM CH 201: CHEMICAL THERMODYNAMICS TUTORIAL-01 1. The change in the Gibbs energy of a certain constant-pressure process is found to fit the expression ΔG/J = −85.40 + 36.5(T/K). Use the Gibbs–Helmholtz equation to calculate the value of ΔH for the process. 2. Estimate the change in the Gibbs energy of 1.0 dm 3 of liquid octane when the pressure acting on it is increased from 1.0 atm to 100 atm. Given that the mass density of octane is 0.703 g cm−3, determine the change in the molar Gibbs energy. 3. By integrating the Gibbs–Helmholtz equation between temperature T 1 and T2, and with the assumption that ΔH is independent of temperature, show that ( where ) is the change in Gibbs energy at temperature T. 4. A container is divided into two equal compartments. One contains 3.0 mol H 2(g) at 25 °C; the other contains 1.0 mol N2(g) at 25 °C. Calculate the Gibbs energy of mixing when the partition is removed. Assume that the gases are perfect. 5. The experimental values of the partial molar volume of K2SO4(aq) at 298 K are found to fit the expression where ( = ⁄ (cm3 mol−1) and is the numerical value of the molality of . Use the Gibbs–Duhem equation to derive an equation for the molar volume of water in the solution. The molar volume of pure water at 298 K is 18.079 cm 3 mol−1. 1/1