CHE 205 Vapor/Liquid Equilibrium Energy Balances Multiphase Systems Nonreactive Processes $200 $200 $200 $200 $400 $400 $400 $400 $600 $600 $600 $600 $800 $800 $800 $800 $1000 $1000 $1000 $1000 How can you tell which of two components is more volatile? What can you say about the bubble point and dew point temperatures of a mixture of two components A and B (T⁰b,A < T⁰b,B)? What about the compositions of the first bubble and last drop of mixture? Explain why a soda can fizzes when it is opened Draw the temperature plot for heating pure cyclohexane from 20 C to 100 C at a pressure of 1 atm. State what is happening in each region of the curve. Write the equations to solve for the temperature and composition of a liquid in equilibrium with a vapor that is 30 mole% acetone-70 mole% ethanol at 1 atm. Is this a bubblepoint or dew-point calculation? List vapor pressures as a variable and state where you would find them. What can you say about the enthalpy of a system of air at 600 ⁰F and 1 atm? The value given in Table B.9 is 3719 BTU/lbmol Cancel the terms of the energy balance of the following system and explain if the remaining terms are positive or negative m2 kg H2O (v)/hr m1 kg H2O (v)/hr Isothermal P = 40 bar, sat’d P = 20 bar Condenser m3 kg H2O (l)/hr T = 250 C Complete the following table for water State T (°C) P (bar) Vapor 50 Sat’d Liquid 94 1 Vapor Sat’d 450 V (m3/kg) 0.538 40 U (kJ/kg) Table One thousand kilograms per hour of steam drives a turbine. The steam enters the turbine at 60 bar and 450C. The turbine delivers shaft work at a rate of 70 kW and the heat loss is 20 kW. Calculate the final temperature of the steam if the final pressure is 0.5 bar. If a pump is 70 % efficient, how many kW are necessary to pump water flowing at 10 kg/s from a lake at 1 bar to an outlet 75 m above the lake at 5 bar, if the outlet pipe has a 4 cm ID? Define a colligative solution property? Name 3 of them. Without using your book, what is the definition of bubble-point and dew-point temperatures? What assumptions must be made to apply Raoult’s or Henry’s Laws? What is the dew point and composition of a mixture of 70% 1-propanol with the rest 1-pentanol in the vapor phase? Pxy diagram at 135 ⁰C for 1-propanol and 1pentanol mixture 3000 P (mmHg) 2600 2200 1800 1400 1000 600 0 0.2 0.4 0.6 mole fraction 1-propanol 0.8 1 Given the following Txy diagram for styrene in toluene at 1000 mm Hg, if a mixture with 40 mole% of styrene is fed to an evaporator what is the bubblepoint temperature and the equilibrium vapor composition? Txy diagram at 1000 mmHg for styrenetoluene mixture 160 T (⁰C) 150 140 130 120 110 0 0.2 0.4 0.6 mole fraction styrene 0.8 1 A gas containing O2 is in equilibrium with liquid water containing a small amount of O2 at 30C and 3 atm. Would you use Raoult’s Law or Henry’s Law to estimate the relationship between a. xO2 and pO2 b. xH2O and pH2O and why? If HCN is taken from 25°C to 100°C, both states at 1 atm, but was carried out in such a way that the pressure varied during the heating, can you still use Cp to calculate the specific enthalpy and why? Estimate the heat capacity of solid CaCO3 using Kopp’s Rule Calculate the specific enthalpies of the following processes: a.N2 (25°C to 700°C) b.H2 (800°F to 225°F) Draw the process path of npentane going from a solid at 150°C and 0.5 atm to a vapor at 100°C and 4.0 atm. List where you would find the information to calculate ΔH for each step, but don’t calculate any of them. Suppose the formula T2 Hˆ C p (T )dT T1 was used to calculate the specific enthalpy change for a change in temperature and pressure for a. An ideal gas b. A highly nonideal gas c. A liquid For which situation is the formula exact and which would have error?