CM1131
Physical Chemistry
(Part 1)
A/P Fan Wai Yip
Department of Chemistry, NUS
1
Useful data
kb = 1.38066 x 10-23 JK-1molecule-1
R = 8.3145 JK-1mol-1 = 0.0820578 atmLK-1mol-1
NA = 6.022 x 1023 mol-1
Ideal and Real Solutions
1
Ideal Solutions
A solution is any homogeneous phase that contains more
than one component.
Solvent - larger proportion of the solution.
Solute component lesser proportion.
A
CM1131 Questions
1(a) What is the pressure (in atm) of 0.2 mol of CO gas in a 500 cm 3 container at 400K if
(i) it behaves ideally and (ii) if the VDW equation is used. Which interaction is dominant,
1. The ideal gas
The gas, liquid and solid phases are most studied in
chemistry.
We begin by looking at the gas phase and examining
its most well-known equation of state.
PV = nRT
What is the origin ?
Questions for Week 4 Tuesday and Wednesday class
1. What is Ssys when the conditions for argon gas (ideal) change from 1 atm, 500 cm 3
and 298K to 1000 cm3 and 373K ? (cv = 12.6 JK-1mol-1)
2. Calculat
59-240 Introductory Physical Chemistry I - Self-Guided Tutorial
According to the classical equipartition of energy theory, for a single molecule, each
translational degree of freedom contributes 1 kT
Department of Chemistry
CM1131
Chemical Kinetics
Outline
Part 1
Introduction to reaction rate, rate constant and rate law
Integrated rate laws of zero, first and second order reactions
Methods to fi
CM1131 Physical Chemistry 1
Part 2
Week 8 to 13
Phase Equilibrium
Ideal and Real Solutions
Chemical Kinetics
Dr Xu Hairuo
[email protected]
Consultation: appointment by email
CM1131 Physical Chemis
Useful data :
1 atm = 101325 Pa
stp : 298K and 1 bar
R = 8.314 JK-1mol-1 ; kb = 1.38066 x 10-23 JK-1molecule-1
c = 3.0 x 108 ms-1 ; h = 6.626 x 10-34 Js ; u = 1.66 x 10-27 kg
V
PV
B
BP
an 2
Z
1
. 1
What is the temperature (K)
of helium gas (assumed ideal) of
density 0.1 g/L if P = 0.4 atm ?
Complete the VDW equation
(p + ?)(V-b) = RT
TBoyle is between ?K and ?K
If attractive forces of a real gas
ANSWER KEY
/
Tutorial Problems
1. When talking about energies of a single molecule 1: is used; however, when dealing with large
quantities of molecules, R is used. Show the relationship between it and
Matric No.: (A ( Vie ID: C
CM1131 AY2016/17 Sl Mid-term
1.
an (5 L 2.
3.
4.
5.
$6.
_C7.
(1 point) 2.5 L of liquid water initially at 298 K was heated to 28.0 0C isobarically. How many k] of heat
did i
Matric No.: @rt 13"- _ 1]): B
CM1131 AY2016/17 Sl Mid-term
Q1.
lxll
N
(1 point) A value of 29.4 J K'1 mol1 was found in the literature for the molar heat capacity of gaseous 02 at
298 K. Which one of
Niatric No.: Um g g: ID: E
CM1131 AY2016/17 Sl Midterm
A 1. (1 point) A value of 29.4 J K11 mol was found in the literature for the molar heat capacity of gaseous 02 at
298 K. Which one of the followi
Matric No.: - 1]): D '
CM1131 AY2016/17 Sl Mid-term
P) 1. (1 point) U111 - Um(0) for methane is best approximated at 298 K by
a. 12.5 J mol" - d. 3.7 k] moi-1
7.4 1:] mar-1 e. 20.8 J moi"
c. 6.2 k] mo
Lecture 03
CM1131 Physical Chemistry 1
1
Intended learning
outcomes addressed.
(1) characterization of
real physical systems.
(2) explain observed
changes.
Lecture 03
In this lecture we will
(a) Defin
Matric Na: ID: D
CM 131 AY2016/17 S1 Mid-term
i.
2.
5.
cfw_1 point) Um - Um(0) for methane is best approximated at 298 K by
a. 12.5 J mol" (1. 3.7 kJ rnol'l
b. 7.4 kJ mol'1 e. 20.8 J mol*
c. 6.2 kJ mo
ICE1ER
Hairuo Xu and Ryan P.A. Bettens, Department of Chemistry, National University of Singapore
ultiple equilibria present in solution
can potentially be very complex to
solve analytically. Indeed,
Set
Colour of test paper
Question number
Answer
A
White
1
25.4
0.77
B
Orange
2
34.9
0.87
C
Green
2
58.4
0.67
D
Blue
2
85.0
0.57
Question number
Answer
2
4.24
7
4.31
1
4.03
5
4.20
Question number
Answe
Matric No.: Iii: LI 0 ID: A
CM1131 AY2016/17 Sl Mid-term
Ar! 3% l) l. (3 points) Indicate in which of the following cases the entropy of the system has increased. One or more
wrong answers means 0 mar
Department of Chemistry
CM1131
Class Example 1
The experimentally determined rate expression of the reaction below is Rate
= k[N2O5] where k is a constant.
2N2O 5 4NO 2 O 2
Several reaction mechanisms
Department of Chemistry
CM1131
Ideal and Real Solutions (Part 1)
Outline
Part 1 Ideal solutions
Part 2 Real solutions deviate from Raoults law
Part 3 Colligative properties
Part 4 Phase diagrams o
SelfcheckquestionforyourunderstandingofThursdayslecture(Week11).
Noneedtosubmityouranswer.Justthinkaboutitordiscussitwithyourfriends.
In the following diagrams of reaction schemes, wide arrows represe
SelfcheckquestionforyourunderstandingofMondayslecture(Week11).
Noneedtosubmityouranswer.Justthinkaboutitordiscussitwithyourfriends.
k Ae Ea / RT
Which of the following plots represents
a reaction with
SelfcheckquestionforyourunderstandingofThursdayslecture(Week10).
Noneedtosubmityouranswer.Justthinkaboutitordiscussitwithyourfriends.
(1) This is a temperature-composition
phase diagram of a solution
SelfcheckquestionforyourunderstandingofMondayslecture(Week12).
Noneedtosubmityouranswer.Justthinkaboutitordiscussitwithyourfriends.
For a general reaction mechanism below, what is the requirement for
Useful data :
1 atm = 101325 Pa
stp : 298K and 1 bar
R = 8.314 JK-1mol-1 ; kb = 1.38066 x 10-23 JK-1molecule-1
c = 3.0 x 108 ms-1 ; NA = 6.022 x 1023 mol-1 ; u = 1.66 x 10-27 kg
4r 3
V ( sphere) =
3
(
Department of Chemistry
CM1131
Ideal and Real Solutions (Part 3)
Outline
Part 1 Ideal solutions
Part 2 Real solutions deviate from Raoults law
Part 3 Colligative properties
Part 4 Phase diagram of
SelfcheckquestionforyourunderstandingofMondayslecture(Week13).
Noneedtosubmityouranswer.Justthinkaboutitordiscussitwithyourfriends.
The following graph contains four plots of [product] vs time for an