Phys 151 Homework 6 Solutions
Dr. MacDonald
USC Fall 2016
42 points
Problem 1: (+5 points)
Draw a FBD for the ball:
The direction of is perpendicular to the side of the cone that the ball is rotating around. We can
determine the angle it makes with the ho
Problem 3.26
200 cm3 of a 0.5 mol solution of sucrose is diluted to 1 dm3 by the addition of 800 cm3 of water. Assume ideal behavior and
calculate the entropy change.
Solution:
Given: Ideal: V = 200 cm". "mm :05 mol, Vl = l drn", V =800 cm3
aucmw mam
Requ
6.17
Sonntag, Borgnakke and van Wylen
Air at 600 K ﬂows with 3 kg/s into a heat exchanger and out at 100°C. How much
(kg/s) water coming in at 100 kPa, 20°C can the air heat to the boiling point?
C.V. Total heat exchanger. The ﬂows are not mixed so the tw
Problem 3.25
One mole of water is placed in surroundings at -3 °C. but at ﬁrst it does not freeze (it remains as supercooled water) Suddenly it
freezes. Calculate the entropy change in the system during the freezing, making use of the renewing data:
C‘Mt‘
13.34
Lise Gibbs relation du & T‘dg - l’dv and one of Maxwell's rclaticns to find an
cxpressixm for («flu/63?}; that (mly has propcnies P. v and T involved. What is the
value cal“ that partial derivative éf you have an ideal gas?
:11: m Tds -— Pdv divide
38)
Using 1 mole of M feed as a basis:
1 mole M
0.8 mole M
2MD
0.1 mole D
We know the final composition because we are told 20% of M is converted to D, i.e. 0.2 mole of
M is consumed and 0.1 mole of D is produced (by stoichiometry).
Reaction equilibrium e
31)
We are given HE data for 1,2-dicholorethane(1) and dimethyl carbonate (2) at 313.15 K and 1 atm.
a) We fit the data to the expression:
HE = x1 x2 (a + bx1 + cx12)
[1]
This solution uses a spreadsheet program. We can plot HE /(x1x2) and get the best fi
28)
For a mixture of n-octanol (1) and n-decane (2):
H = x1x2(A + B (x1 x2) J/mol
where A = 12,974 + 51.505 T
and
B = 8782.8 34.129 T
with T in K.
a) Wanted: H1, H2, H1 , and H 2 .
Pure n-octanol enthalpy (x1 = 1), H 1 = H x
= 1 0 (A + B(1 0) = 0
Pure n-d
Problem Set G
Solution
10.213
Spring 2002
YT
23) A schematic of the Rankine cycle and representation on a T-S diagram:
QH
1
T
2
Boiler
2
P = 0
Wp
pump
S = 0
Wt
turbine
S = 0
P = 0
Condenser
4
1
3
4
3
QC
S
475oC
Depends on your last name.
The solution will
22)
&
Ws = ?
1
T2 = ?
P2 = 1 MPa = 10 bar
2
Compressor
= 0.82
S = ?
adiabatic
T1 = 21oC = 294 K
P1 = 200 kPa = 2 bar
We are given the information above. The unknowns are marked with ?.
General approach
1) We are given the value of =
&
(H) S Ws,rev
&
&
=
15.
a) We want to write dS in terms of changes of P and V (dS = something dP + somethang dV)
S
S
dS = dP +
dV
P V
V P
S T
S T
= dP +
dV
T V P V
T P V P
Cv
Cp
S
S
and =
=
T
T V
T P T
dS =
Cv T
Cp T
dV
dP +
T P V
T V P
b) For an i
11.
a)
SO2(g) + O2(g)
SO3(g)
Writing what we know plus data from Appendix C:
SO2(g)
O2(g)
SO3(g)
-1
-1
1
Stoich. coef.
o
-296830
0
-395720
-98890
H f298 (J/mol)
5.699
3.639
8.06
-1.278
A
0.801E-03 0.506E-03 1.056E-03 -0.251E-03
B
0
0
0
0
C
-1.015E+05 -0.
10.213 Chemical Engineering Thermodynamics
Spring 2002
Test 2 Solution
Problem 1 (35 points)
High pressure steam (stream 1) at a rate of 1000 kg/h initially at 3.5 MPa and 350 C is expanded
in a turbine to obtain work. Two exit streams leave the turbine.
Retrosynthetic TechniqueSummary
1. disconnections should correspond to
reliable reactions
2. assign imaginary charges sensibly,
i.e. decide which role (Nu or E+) each
fragment ought to have
3. learn the locations of commonly
disconnected bonds, the Achill
Aldol and Retro-aldol Mechanisms
Colin Lam, Chem 30C, Winter 2012
The following transformation involves one retro-aldol reaction followed by one aldol reaction.
Draw a curly-arrow mechanism.
O
KOH
O
Solution
Aim to master the curly-arrow mechanisms for bo
Aldol and Retro-aldol Mechanisms
Colin Lam, Chem 30C, Winter 2012
The following transformation involves one retro-aldol reaction followed by one aldol reaction.
Draw a curly-arrow mechanism.
O
KOH
O
Solution
Aim to master the curly-arrow mechanisms for bo
Chem 30C, Winter 2012, Second Midterm Examination (Practice Paper)
UCLA Chemistry 30C Winter 2012
Second Midterm Examination
Practice Paper (50 minutes)
On my honor, I have neither given nor received any aid on this examination.
Name (LAST, First) (in ink
Chem 30C, Winter 2012, Second Midterm Examination (Practice Paper)
UCLA Chemistry 30C Winter 2012
Second Midterm Examination
Practice Paper (50 minutes)
On my honor, I have neither given nor received any aid on this examination.
Name (LAST, First) (in ink
Chem 30C, Winter 2012, Second Midterm Examination (Practice Paper)
UCLA Chemistry 30C Winter 2012
Second Midterm Examination
Practice Paper (50 minutes)
On my honor, I have neither given nor received any aid on this examination.
KEY
Name (LAST, First) (in
Massachusetts Institute of Technology Dr. Kimberly L. Berkowski
5.13, Fall 2006 Organic Chemistry II
EXAM #3 EXTRA PROBLEMS
KEY
What to expect on Exam #3: 1. ~1 Labeling experiment 2. ~2 Mechanisms 3. ~2 Syntheses 4. ~5 transformations supply missing prod