ECH 152B, Winter 2015, Roland Faller
Solutions for Homework 2, January 23, 2015
Number 1
Show that in a binary solution we can write the partial molar properties M i of
any property M as
M 1 = M + x2 dx1 M
M 2 = M x1 dx1 M
Solution We know that
M = x1 M 1

ECH 152B, Winter 2016, Adam Moule & Roland Faller
Solutions for Homework 2, January 23, 2016
Number 1
Show that in a binary solution we can write the partial molar properties M i of
any property M as
M 1 = M + x2 dx1 M
M 2 = M x1 dx1 M
Solution We know th

ECH 152B, Winter 2015, Roland Faller
Solution for Homework 1, January 16, 2015
Problem 1. Assume a benzenetoluene mixture obeys Raoults law. Calculate
(a) yB and P if xB = 0.6 and T = 412K
(b) xT and T if yB = 0.6 and p = 120kP a
y is the (molar) concentr

ECH 152B, Winter 2016, Roland Faller and Adam Moul
e
Solutions for Homework 3, January 23, 2016
Problem 1 What is the pressure of the system and the molar fraction of
n-hexane (C6 H14 ) in the ideal gas vapor above an ideal solution of 80 g of
nhexane and

ECH 152B, Winter 2014, Roland Faller
Solutions for ReviewHomework 4, February 29, 2015
Problem 1
1. Assume in a ternary system that the enthalpy can be described by
1000x1 + 800x2 + 1400x3 + 11x1 x2 + 334x2 x3 .
H
kJ/mol
=
(a) Calculate the partial molar

ECH 152B, Winter 2015, Roland Faller
Solution for Homework 7, February 28, 2015
Problem 1 Show that the modied Wilson equation
GE
= C[x1 ln(x1 + x2 12 ) + x2 ln(x2 + x1 21 )]
RT
can describe liquidliquid equilibrium (C, ij being constants). Determine what

ECH 152B, Winter 2016, Roland Faller and Adam Moul
e
Midterm Exam 1, January 26, 2016
No Book, No Notes, Maximum: 26 points.
1. (8 = 4 2 points)
(a) What is an ideal mixture?
(b) Sketch a simple T xy diagram in a liquidgas binary system (i.e. without
azeo

ECH 152B, Winter 2015, Roland Faller
Solutions for Homework 10 Test-Final, March 16, 2015
Problem 1 Draw a phase diagram (p, x) for liquidliquidvapor equilibrium
(binary mixture) where the gases are ideally miscible and the liquids are partially
immiscibl

ECH 152B, Winter 2015, Roland Faller
Homework 3, January 21, 2015
Due: January 28, 2015, Beginning of Lecture
1. (8 points, old midterm problem)
(a) What is the pressure of the system and the molar fraction of n-hexane
(C6 H14 ) in the ideal gas vapor abo

ECH 152B, Winter 2015, Roland Faller
Solutions for Midterm 2, March 4, 2015
28 points total.
1. (6 = 3 + 3 points)
(a) Determine the number of independent reactions if the system contains H2 O,
H2 CO3 , and CO2 . Give one possible set of reactions.
(b) Wr

ECH 152B, Winter 2015, Roland Faller
Midterm Exam 1, January 30, 2015
No Book, No Notes, Maximum: 26 points.
1. (8 = 4 2 points)
(a) What is an ideal solution?
(b) Sketch a simple p xy diagram in a liquidgas binary system (i.e. without
azeotropes or criti

ECH 152B, Winter 2015, Roland Faller
Solutions for Homework 9, March 16, 2015
Problem 1
Chain length determination by osmometry
Assume you have two identical vessels of water (10 l in each) connected by a
semipermeable membrane (waterpermeable, polymerimp

ECH 152B, Winter 2014, Roland Faller
Homework 2, January 15, 2014
Due: January 22, Beginning of Lecture
1. (4 points) Show that in a binary solution we can write the partial molar
properties M i of any property M as
M 1 = M + x2 dx1 M
M 2 = M x1 dx1 M
2.

ECH 152B, Winter 2015, Roland Faller
Homework 5, February 4, 2015
Due: February 11, Beginning of Lecture
1. (6 points)
E
(a) Show that the two parameter Margules equation x1 G2 RT = (A21 x1 + A12 x2 )
x
can have extrema for the activities of the constitue

ECH 152B, Winter 2015, Roland Faller
Solutions for Homework 3, January 28, 2015
Problem 1 What is the pressure of the system and the molar fraction of
n-hexane (C6 H14 ) in the ideal gas vapor above an ideal solution of 80 g of
nhexane and 40 g of nheptan

Winter 2010 University of California at Davis Department of Chemical Engineering and Materials Science ECH 141 EXAMPLE MIDTERM (given in 2007)
#1) (20 points) A two-dimensional flow field is given by v= (0.5 + 0.8x) i + (1.5 0.8y) j (m/s). a) Determine if

ECH 152B, Winter 2015, Roland Faller
Solution for Homework 6, February 24, 2015
Problem 1
We are given the following gas phase reaction (between ideal gases)
H2 (g) + CO2 (g) H2 O(g) + CO(g)
at 372 K and 101.3 kpa.
(a) Calculate the equilibrium constant.

Properties of Pure Systems:
Theory and
ASPENPLUS Calculations
ECH 152B Discussion
January 23, 2015
Basics of Pure Systems
(Reminder)
1st law:
dU = dQ + dW
Reversible: dU = TdS - pdV (+dN)
These are ALL state functions -> always
true.
NVS are natural/canon

Flash Calculations and
Gibbs Free Energies of Mixing
using
ASPENPLUS 8.x
ECH 152B Discussion
January 16, 2015
(screenshots use Aspen
8.0 or Aspen 8.4)
Announcements!
The Student Disability Center asks that students interested in serving
as paid notetaker

Reactions
(and simple Reactors)
ASPENPLUS Calculations
ECH 152B Discussion
February 6, 2015
R. Faller 2013-2015, all rights reserved
Basics of Reactions
Basics of Reactions
Basics of Reactions
Basics of Reactions
The chemical potential depends on all
con

Thermodynamic
Considerations
of a Rocket Launch
ECH 152b Discussion
February 13, 2015
The Titan IV rocket
44 m tall
3 m diameter
Cost per launch
432 million $ (in 1994)
wikipedia.org
3 Stage system Why multiple stages?
The last Titan IV Rocket Launch
Vand

Liquid-Liquid Equilibria with
some ASPENPLUS
Calculations
ECH 152B Discussion
February 20, 2015
T
Gibbs free energy and LLE
DG
One (Liquid)
Phase
Region
Upper
System
Freezes
Phase
coexistence
(bimodal)
intersects
freezing
Critical
Two
Phase
Solution
Tempe

Solids and
Three Phase (VLL/SSL)
Equilibria with some
ASPENPLUS Calculations
ECH 152B Discussion
February 27, 2015
Idealized SSLE
T
Liquid
II
I
Eutectic, three phase equilibrium
I-II
I,II Solid Phases
x2
Solid Liquid with ideal solution in liquid and
perf

Colligative Properties and
ASPENPLUS Calculations
ECH 152B Discussion
March 6, 2015
Colligative Properties
Boiling Point Elevation
Freezing Point Depression
Osmosis
ONLY exist in mixtures.
Reminder Osmosis
wikimedia.org
Application: Osmometry for
protein

function [ proof ] = densityToApparentProof( density, TinC )
% Given a density measurement 'density' (in g/cc) at temperature
% 'TinC' (in degrees C), and assuming a mixture of water and ethanol,
% use TTB Table 6 to infer the proof reading that would hav

Thermodynamics using
ASPENPLUS V8.x
A Review
ECH 152B Discussion
March 13, 2015
Course Evaluation
The Online Course Evaluation opened
Monday March 9 at midnight and ends
Monday March 16 at 11pm.
Please go to eval.ucdavis.edu
We need
YOUR help!
Two Major T

ECH 152B, Winter 2015, Roland Faller
Solutions for Homework 8, February 28, 2015.
Students with a last name starting with A M will write Midterm 2 in the
regular room (100 Hunt).
Students with a last name starting with H Z will write in 26 Wellman.
Proble

Qualitative Behavior of VaporLiquid Equilibria and Simple
Calculations using
ASPENPLUS V8.x
ECH 152B Discussion
January 12, 2015
Two Species
Typical Examples: Salt in Water, heptane and octane (gasoline),
ethanol in water (wine, beer etc)
Phase Rule with

ECH 152B, Winter 2015, Roland Faller
Homework 5, February 4, 2015
Due: February 11, Beginning of Lecture
1. (6 points)
E
(a) Show that the two parameter Margules equation x1 G2 RT = (A21 x1 + A12 x2 )
x
can have extrema for the activities of the constitue

ECH 152B, Winter 2015, Roland Faller
Homework 8, February 25, 2015.
This is a voluntary review homework. It will no be graded. Solutions will be
on Smartsite by March 1.
Room Assignment for Midterm 2, March 4, 2015, 8:00 - 8:50 am
Students with Last Name

ECH 152B, Winter 2012, Roland Faller
Solution for Homework 5, February 8, 2012
Number 1
E
(a) Show that the two parameter Margules equation x1 G
x2 RT = (A21 x1 + A12 x2 )
can have extrema for the activities of the constituents at nonpure concentrations,

ECH 152B, Spring 2012, Roland Faller
Solutions for Homework 2, January 26, 2012
Number 1 Assume a mixture of 1 mol% ethane, 5 mol% propane, 44 mol%
butane and the rest isobutane at a temperature of T = 294.25 K. 20 mol% of the
system are in the vapor phas

ECH 152B, Winter 2014, Roland Faller
Solutions for ReviewHomework 5, February 4, 2014
Problem 1
(a) Define ideal solution.
(b) What does Henrys law say and when is it applicable?
(c) What is an activity coefficient and how is it calculated?
(d) Define par

ECH 152B, Winter 2012, Roland Faller
Solution for Homework 1, January 23, 2012
Problem 1. Assume a benzenetoluene mixture obeys Raoults law. Calculate
(a) yB and P if xB = 0.6 and T = 412K
(b) xT and T if yB = 0.6 and p = 120kP a
y is the (molar) concentr

ECH 152B, Winter 2014, Roland Faller
Solutions for Homework 3, January 29, 2014
Problem 1 What is the pressure of the system and the molar fraction of
n-hexane (C6 H14 ) in the ideal gas vapor above an ideal solution of 80 g of
nhexane and 40 g of nheptan