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Practice Problems ChE 230
Chapter 1 Fundamental concepts
1. A sample of 200 g of an ideal gas at 80 bar pressure has its volume doubled and its absolute
temperature tripled. Find its final pressure.
2. A 0.418 g sample of an ideal gas has a volume of 115
Chapter 2 Problems
Problems with an L were used as example problems during lecture, problems with a T appeared
on a tutorial assignment and problems with a PS are on a problem set.
Energy Balance for a Closed System
2.3 (L Jan. 11)
2.4 (L Jan. 11)
2.5 (PS
ChE230: Physical Chemistry I
Tutorial 1: Math Review and Introduction to Thermodynamics Solutions
January 6, 2015
Work in groups of 23 to complete the following questions. Submit one copy of your solutions
per group at the end of tutorial.
1. In thermody
ChE230: Physical Chemistry I
Problem Set #1: Ch1 and Ch2.1 2.11
January 25, 2016
The following problem set must be submitted to the assignment box on the 5th floor of E6 by
4:30 PM on Monday, January 26th! Your solution will be graded for correctness and
ChE230: Physical Chemistry I
Tutorial 1: Math Review and Introduction to Thermodynamics
January 6, 2015
Work in groups of 23 to complete the following questions. Submit one copy of your
solutions per group at the end of tutorial.
1. In thermodynamics we
ChE230: Physical Chemistry I
Tutorial 2: Energy Balance for a Closed System
January 13, 2016
Work in groups of 23 to complete the following questions. Submit one copy of your solutions
per group at the end of tutorial.
1. (2.12) Heat in the amount of 7.5
CH2.12.5: FIRST LAW
OF THERMODYNAMICS
By the end of this lesson you will be able to:
State the first law of thermodynamics.
Identify extensive and intensive properties.
Calculate heat, work or change in energy for a
given process by applying the first
ChE230: Physical Chemistry I
Tutorial 2: Energy Balance for a Closed System
January 13, 2016
Work in groups of 23 to complete the following questions. Submit one copy of your solutions
per group at the end of tutorial.
1. (2.12) Heat in the amount of 7.5
WELCOME TO CHE230!
PHYSICAL CHEMISTRY I
Dr. Eline Boghaert
eline.boghaert@uwaterloo.ca
E65020
TA: Huayu Niu
WHAT IS THERMODYNAMICS?
Thermodynamics is a set of theories that correlate
macroscopic properties that we can measure (i.e.
temperature, volume, p
VISUALIZING A LINE INTEGRAL
EXACT DIFFERENTIAL
A differential is exact if:
=
+
How do you know if:
= , + ,
is an exact differential?
WHAT YOU NEED TO KNOW!
All thermodynamic properties (i.e. internal energy,
temperature, pressure, volume) are state fu
CH2.12:
MASS AND ENERGY
BALANCES FOR OPEN
SYSTEMS
By the end of this week you will be able to apply the
first law of thermodynamics to a control volume (open
system).
MASS BALANCE FOR A CONTROL VOLUME
ENERGY BALANCE FOR A CONTROL VOLUME
DETERMINING ENTHAL
Chapter 2 First law of Thermodynamics
1. One mol of water is vaporized at 100C and 1 atm. The heat of vaporization is 40.69 kJ/mol. The
vaporization is reversible. Determine a) work W, b) heat Q, c) U, and d) H involved in the
process. The water vapor at
Chapter 6. Reaction Equilibrium of Ideal Gases
1. Nitrogen tetroxide dissociates to reach an equilibrium according to N2O4 (g) 2 NO2(g)
(a) If 1.588 g of nitrogen tetroxide gives a total pressure of 1.0133 bar when partially dissociated in
a 0.5 L vessel
ChE 230  Assignment 1 (Chapter 1 Fundamental Concepts)
1. A vacuum pump is capable of evacuating a vessel at 25C to a point that the amount of gas
remaining is 5.0109 molecules per m3. What is the pressure in the vessel? Assume ideal gas
behavior.
2. A b
ChE 230  Assignment 2 (Chapter 2 First Law of Thermodynamics)
1. One mole of an ideal gas with CV,m = (3/2)R expands reversibly from 24.6 Land 300 K to 49.2 L.
Calculate the final pressure and temperature if the expansion is (a) isothermal; (b) adiabatic
ChE 230  Assignment 3 (Chapter 3  The 2nd Law of Thermodynamics)
1. A Carnot engine produces 2.5 kJ of work per cycle and has an efficiency of 45%. Determine qH
and qC for one cycle. If the temperature of the cold reservoir is 300 K, what is the tempera
ChE 230  Assignment 4 (Chapter 4 Material Equilibrium)
1. A certain gas obeys the equation of state PVm=(1+bP)RT, where b is a constant. Staring from
, and
,
where and are thermal expansivity and isothermal compressivity, respectively. Show that
(1)
,
(2
ChE 230 Assignment 5 (Chapter 5  Standard Thermo Functions of Reaction)
1. For the reaction H2 (g) + O2 (g) H2O (l), find (Ho298 Uo298) for the following two cases:
(a) neglecting the volume of water Vo298, and
(b) not neglecting the volume of water Vo2
ChE 230 Assignment 6 (Chapter 6 Chemical Reaction Equilibrium)
1. For the gasphase reaction 2SO2 + O2 2SO3, observed mole fractions for a certain equilibrium
mixture at 1000 K and 1767 torr are xSO2 = 0.310, xO2 = 0.250, and xSO3 = 0.440. (a) Find Kp
and
Chapter 3  The 2nd Law of Thermodynamics
1. Consider a heat engine that uses a hot reservoir at 800 C and a cold reservoir at 0C.
(a) Calculate the maximum possible efficiency for power generation.
(b) if heat in the amount of 1000 J is supplied by the h
Chapter 5. Standard themo Functions of Reaction
1.
The standard heat of combustion of liquid acetone (CH3)2CO at 25C to form CO2 (g) and H2O (l)
is 1790 kJ/mol. The heats of formations Ho f,298 for CO2 (g) and H2O (l) are 393.5 and 285.8
kJ/mol , respe
ChE230: Physical Chemistry I
Week 3: 2.12 Energy Balance for an Open System
January 18 & 20, 2016
Example 1 (2.22): An incompressible ( = constant) liquid flows steadily through a conduit of
circular crosssection and increasing diameter. At location 1, t