2) Argon gas at 1.00 bar and helium gas at 1.00 bar are in compartments of 10.00 dm³ and and 20.00 dm³ respectively. Both gases are at 298 K. Both gases are at 298 K. Calculate the entropy change for each gas when the barrier is removed and the gases are allowed to дрт dp. What is (1) for perfect mix. Start with the fact that ds = (25) dT + ( monatomic gases? Use a Maxwell relation and the perfect gas law to substitute for (15), Rewrite ds = (5) dT + (5), dp for a perfect monatomic gas substituting for (25), an accordingly. Decide if there will be a change in temperature during this process. Calculate the entropy change for each gas when the barrier is removed and the gases are allowed to mix. Calculate the entropy of mixing, AmixS. Comment on whether your result is in accord with the 2nd law of thermodynamics. (2 points) 3) Each gas in the process described in 2) has an initial and final G, H, and S. The process takes place at constant temperature, T = 298 K. Gibbs free energy is defined as G = H - TS. Show that for each gas, AG = AH-TAS. Use your answers from 1) and 2) to calculate AG for each gas. Add these together to get AmixG for the overall process. (2 points) 4) Start with dG-SdT + Vdp. Calculate the change in Gibbs free energy for each gas by integrating from initial to final pressures for both gasses. Calculate Amix G. (2 points) адс 5) Calculate the Amix G = total RT (XHe In xe + xAr In xAr). Use (DAC) =-AS to calculate Amix S for the process in 2). (2 points) эт P