CHE 134 Final Project Group 6
pptx
keyboard_arrow_up
School
CUNY York College *
*We aren’t endorsed by this school
Course
106
Subject
Chemistry
Date
Jan 9, 2024
Type
pptx
Pages
10
Uploaded by SargentButterflyPerson1818
Make sure to stir so error won’t occur.
Aya Sleem, Alyssa Maiero and Yaqin Rahman
CHE 134 Spring 2023 Final Project
To be presented on Thursday, April 27th
Introduction
In this experiment, we conducted two titrations of an unknown acid with NaOH to first calculate the molar mass and titer and then the pka of the unknown acid. In the first titration with phenolphthalein indicator, we were able to measure the mmoles of NaOH that were used to reach the equivalence point, and from there, calculate the molar mass of our acid, depending on how many milligrams of the acid we titrated. Also, using the mg of acid and mL of NaOH it took to reach the equivalence point, we calculated our titer which helped us determine how much acid was needed to be titrated with 25 ± 3 mL of NaOH.
Introduction Continued
For the second titration, we weighed out approximately the amount of mg of acid needed and then using the titer we calculated, determined exactly how many mL of NaOH should be used to reach the equivalence point. In this second titration, instead of using an indicator, we used a pH electrode to take accurate measurements of the pH after each addition of a NaOH. We utilized our data to construct our titration curve, which was then used to find the pH of our solution at half equivalence, which allowed us to determine the pKa of our acid.
These results allowed us to determine the identity of the unknown acid by comparing it to the molar masses and pkas of multiple acids.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Introduction Continued
●
The goal of our redesign is to obtain more accurate pH readings during our titration so that our data is more accurate and precise. By increasing the precision and accuracy of our data, our calculations will be more accurate for identifying our unknown acid.
●
We redesigned this experiment by utilizing a stir plate and stir bar to thoroughly mix the solution as we were titrating. This promoted the moles of the NaOH solution to be evenly distributed among the weak acid, before taking pH measurements.
Materials and Methods Materials utilized in the initial and redesigned experiment include…
●
Volumetric pipettes
●
Burets
●
Erlenmeyer flasks
●
Beakers
●
pH electrode
●
Squeeze bottles
●
Droppers
●
Scale
Materials only used in our redesign experiment include…
●
Stir plate
●
Stir bar
Materials and Methods Continued
●
The method we used in this experiment to acquire our data and results is titration
. Using a buret, we slowly titrated our weak acid solution with the strong acid, NaOH, until we reached and passed the equivalence point(moles NaOH=moles unknown weak acid). ●
Throughout the entire titration, the stir bar and stir plate kept the solution thoroughly mixed
so that the moles of NaOH were being distributed evenly. ●
After each interval of titration, we recorded the pH of the solution from the reading on the pH electrode.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Results and Discussion
Part I: Unknown Acid: # 58 Unknown Identity: Sodium Dihydrogenphosphate Hydrate
- Part A
Mass of acid used: 0.1700 ± 0.0001g = 170.0 ± 0.1mg
Net Volume NaOH at equivalence point: 21.90 ± 0.03mL
Mmol NaOH = (Molarity) * (mL) = (0.05762M) * (21.90 ± 0.03mL) =
1.26 ± 0.03Mmol NaOH = 1.262 ± 0.03Mmol acid
Molar mass of unknown acid = mg/Mmol = (170.0 ± 0.1mg)/(1.262 ± 0.03Mmol) = 134.71 ± 0.02mg/mmol
Titer NaOH: mg acid/mL NaOH = (170.0 ± 0.1mg)/(21.90 ± 0.03mL) = 7.763 ± 0.001mg/mL
-Part B Mass of acid used: 270.5 ± 0.1mg
Net Volume NaOH at equivalence point: 24.00 ± 0.03mL
Mmol NaOH = (Molarity) * (mL) = 1.383 ± 0.03Mmol NaOH = 1.383 ± 0.03Mmol acid
Molar mass of unknown acid = mg/Mmol = 195.6 ± 0.02mg/mmol
Percent Error pKa (%) = ((6.94 - 7.2)/7.2) * 100= 3.61% Percent Error Molar Mass (%) = ((131.5 - 138.0) / 138.0) * 100 = 4.71%
Table 1. Titration curve of original experiment
Table 2. Titration curve of modified experiment
Comparing the titration curves of the original experiment to the redesigned experiment:
Results and Discussion
Part II: Unknown acid: #34 and Unknown identity: Potassium Hydrogen Phthalate - Part A
Mass of acid used: 219.6 ± 0.1mg
Net Volume NaOH at equivalence point: 20.52 ± 0.03mL
Mmol NaOH = (Molarity) * (mL) = 1.182 ± 0.03Mmol acid
Molar mass of unknown acid = mg/Mmol = 185.8 ± 0.02mg/mmol
Titer NaOH: mg acid/mL NaOH = (170.0 ± 0.1mg)/(21.90 ± 0.03mL) = 10.70 ± 0.001mg/mL
- Part B
Mass of acid used: 0.1830 ± 0.0001g = 183.0 ± 0.1mg
Net Volume NaOH at equivalence point: 24.16 ± 0.03mL
Mmol NaOH = (Molarity) * (mL) = (0.05762M) * (24.16 ± 0.03mL) =
1.392 ± 0.03Mmol NaOH = 1.392 ± 0.03Mmol acid
Molar mass of unknown acid = mg/Mmol = (183.0 ± 0.1mg)/(1.392 ± 0.03Mmol) = 131.5 ± 0.02mg/mmol
Percent Error pKa (%) = ((5.35 - 5.5)/5.5) * 100= 2.72% Percent Error Molar Mass (%) = ((195.6 - 204.0) / 204.0) * 100 = 4.12%
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Conclusion
●
The accuracy and precision of our experiment was reflected in the data of our modified experiment.
●
Using a stir bar and stir plate helped reduce percent error for both molar mass of acid and pKa measurements.
●
An improvement can be made in taking more data points in order to create a better quality titration curve
Related Documents
Related Questions
Content
ra/courses/_74259_1/cl/outline
for..
O 12 Steps of Gamble...
m Veterans Portal
O*NET OnLine
EC Home | exploreheal..
Scholarships - SAL.
Patient
3) In Part B of the experiment, what volume of ethyldiamine should you add?
4) Why does adding 95% ethanol to the solution cause the compound to precipitate?
pH pre-lab At
1) What are you trying to calculate in part A? What are you trying to calculate in part B?
2) HF is as weak, monoptoric acid with a Ka value of 6.6x104, Calculate the pH of a 0.25 M solution of this acid.
3) If you made a buffer solution of HF and NaF, what would be the conjugate base?
4) If the concentration of HF was 0.15 M and the concentration of NaF was 0,25 M. what would be the pH of the buffer?
5) Write a reaction for the neutralization that would occur if you added a small amount of NaOH to the buffer solution desribed in question 3.
Ca(OH)2 pre-lab At
1) What are you using as an indicator in this lab? What color indicates the titration has reached completion?…
arrow_forward
Table 2. Titration data
Trial 1
Trial 2
Trial 3
Initial burette reading (mL)
1.19
2.26
2.39
Molarity of NaOH (M)
0.100
0.100
0.100
Volume of vinegar sample (mL)
5.00
5.00
5.00
Final burette reading (mL)
48.55
49.43
49.99
Expected color at end point
Volume of NaOH used (mL)
Average Volume of NaOH used in liters
Average moles of NaOH used (mol)
Average moles of acetic acid (mol)
Average molarity of acetic acid (M)
Average mass of acetic acid (g)
Average mass of vinegar (g) (assume the density of vinegar is 1.00 g/mL)
Average mass % of acetic acid in vinegar
Known mass % of acetic acid in vinegar is 5.45%
Percent Error
arrow_forward
Using the two images attached please write one paragraph about the ANALYSIS
Please please please answer as fast as possible
arrow_forward
One of your classmates (or you, perhaps!) forgot to add phenolphthalein indicator before starting the titration, and he/she already began adding sodium hydroxide from the buret! Uh oh...what should be done?
a) Just restart. The trial is completely ruined.
b) Add a couple drops of phenolphthalein into the acid flask. If it remains clear, nothing's wrong. If it changes to dark pink, record the final buret reading and call it a successful trial.
c) Add a couple drops of phenolphthalein into the buret to turn the sodium hydroxide solution dark pink. That will really make your instructor happy.......right?
d) Add a couple drops of phenolphthalein into the acid flask. If it remains clear, nothing's wrong. If it changes to dark pink, I guess you need to restart!
e) Add a couple drops of phenolphthalein into the acid flask just for the heck of it. You need to restart anyways, but why not have some fun?
arrow_forward
astering.pearson.com.couiseid-12449557&key=504176635134952610222023#/
MISSED THIS? Read Section 18.4 (Page); Watch
KCV 18.4B
Consider the curve shown here for the titration of a
weak monoprotic acid with a strong base.
Hd
14
12
10
8
6.
420
0
40
80 120 160
Volume of base added (mL)
The figure shows pH as a function of volume of
base added. The pH is measured from 0 to 14 on
the y-axis, while the volume of base added is
measured from 0 to 160 milliliters on the x-axis.
The curve of the plot goes up gradually from pH
2.3 at 0 milliliters to pH 5.8 at 49 milliliters, next
the plot goes up steeply to pH 11.8 at 51
milliliters, and finally the plot goes up gradually
to pH 12.2 at 160 milliliters.
✓ Correct
The equivalence point is the point in the titration when the number of moles of base is stoichiometrically equal to
the number of moles of acid. The equivalence point is located at the point of inflection in the middle of the
titration curve. For the presented curve, the volume of added…
arrow_forward
Please correct answer and don't use hand raiting
arrow_forward
How do you find the moles of NaOG needed to titrate KGP and the molarity of NaOH?
I have some information listen but I so confused on how to get it with the information I have.
The molarity might be 0.1 but like I said I don’t know if thats true or how you would get it. I’ve seen other people use it though.
arrow_forward
Find the Pka and Ka values for the following indicators, please show work, I am primarily confused how to find the values.
arrow_forward
Please answer letter c
arrow_forward
Data:
Table 1: Titration of 1.00 mL H2O2 with KMNO4
0.1134M
Concentration of KMNO4
Trial #
Initial KMNO4 Volume (mL)
Final KMNO4 Volume (mL)
Volume KMnO4 Used (mL)
1
10
2
10
19.7
19.7
29.6
Pre-lab:
1.
What is a titrant? What is the titrant in this lab?
2. What is an analyte? What is the analyte in this lab?
arrow_forward
Aktiv Chemistry
SOMA Login
X
General Psychology
+
0
Aktiv Chemistry MAT 106 -- Trigono... MAT 106, section 8...
Brooks
5.01 x 10⁹
Determine the pH of a Tris/TrisH+ buffer solution by constructing an ICE table, writing
the equilibrium constant expression, and using this information to determine the pH.
The pKa for TrisH+ is 8.30. Complete Parts 1-3 before submitting your answer.
‒‒ Q Search
Question 4 of 13
PREV
1
Based on your ICE table (Part 1) and the equilibrium expression for Ka (Part 2), determine the pH of the
buffer solution.
pH
0.200
2
=
8.40
Studies PSY
7.61
5.60
C
A ★
ScholarsApp-Scho... PT Andr
S
RESET
0.26
arrow_forward
Write the Ksp expression for the sparingly soluble compound silver cyanide, AgCN.
If either the numerator or denominator is 1, please enter 1.
Ksp
=
Submit Answer
Retry Entire Group
8 more group attempts remaining
arrow_forward
what would the molarity acetic acid be?
arrow_forward
1) Using the measured pH, calculate the concentration of H3O+ and OH- at the equivalence point.
2) If the theoretical pKa of KHP is 5.4, calculate the percent error using your experimental pKa value.
arrow_forward
A student was titrating a solution of hydrazine (H₂NNH₂) with a nitric acid solution.
Determine the pH at a particular point in the titration. Do this by constructing a BCA table,
constructing an ICE table, writing the equilibrium constant expression, and use this
information to determine the pH. Complete Parts 1-4 before submitting your answer.
NEXT >
A 40.0 mL of 0.200 M H₂NNH₂ was titrated with 10.0 mL of 0.100 M HNO3 (a strong acid). Fill in the ICE
table with the appropriate value for each involved species to determine the moles of reactant and product
after the reaction of the acid and base. You can ignore the amount of liquid water in the reaction.
Before (mol)
Change (mol)
After (mol)
6.00 x 10
Initial (M)
Change (M)
Equilibrium (M)
-X
0.140-x
0
-6.00 x 10³
0
1
1
0.200 + x
H₂NNH₂(aq)
0.200
0.175 + x
7.00 x 10³
H₂NNH₂(aq) +
2
0.200
0.200 - x
0.175-x
0.100
2
-7.00 x 10"
A student was titrating a solution of hydrazine (H₂NNH₂) with a nitric acid solution.
Determine the pH at a…
arrow_forward
Procedure: Mix 0.01M KMNO4 and 2 drops of 6M H2SO4 with several drops of 1.0M K2C2O4.
Observation: A slight color peach begins to appear.
5K2C2O4(aq) + 2KMnO4(aq)+ 8H2SO4(aq) → 2MnSO4(aq) + 10CO2(aq) + 6K2SO4(aq) + 8H2O(l)
Has oxidation and reduction occurred?
If oxidation and reduction has occurred? If oxidation and reduction has occurred define the change in oxidation numbers for the following atoms and define what is undergoing oxidation and reduction:
Mn[ ? ] → Mn[ ? ]
C[ ? ] → C[ ? ]
arrow_forward
A student was titrating a solution of hydrazine (H₂NNH₂) with a nitric acid solution.
Determine the pH at a particular point in the titration. Do this by constructing a BCA table,
constructing an ICE table, writing the equilibrium constant expression, and use this
information to determine the pH. Complete Parts 1-4 before submitting your answer.
The Kb for H₂NNH₂ is 3.0 x 10-6. Based on your ICE table and the equilibrium expression for Kb, set up
the expression for Kb in order to determine the unknown concentrations. Each reaction participant must be
represented by one tile. Do not combine terms.
[0]
[0.200 + x]
[0.175 + x]
[0.200]
[0.200 -x]
[0.175 -x]
0
1.70
Kb
4.77 x 10-1⁰
=
12.3
[0.0200]
[0.100]
[0.0200 + x] [0.0200 -x]
10.8
[0.140]
2
[0.100 + x]
2.10 x 10-²
A student was titrating a solution of hydrazine (H₂NNH₂) with a nitric acid solution.
Determine the pH at a particular point in the titration. Do this by constructing a BCA table,
constructing an ICE table, writing the…
arrow_forward
Pls help ASAP. Pls show all work and calculations.
arrow_forward
Why does it conduct more before and after this minimum point?
arrow_forward
Determine the pKa values for your weak acid and weak base equivalence points using the pH obtained at the half equivalence point for each graph. Label the pKa’s (and volume) on your graphs.
arrow_forward
just choose the letter of the correct answer
arrow_forward
Determine the concentration of acetic acid and vinegar
arrow_forward
Based on your average pka, calculate the pH of the diluted solution before adding any titrant. Does this agree with the measured pH (within 0.15 Ph UNITS) The average pka is 4.56, and the number of moles of acid is 0.00239, the amount of DI water is 60.0ml, amount of acid is 14.98ml initial, and initial ph. is 3.17.
I started by finding the molarity and the Ka, Ka was 10^-4.56 and molarity of acid was 0.00239/14.98ml + 60.0 ml times (1000ml/1L)
How do you finish this?
arrow_forward
What's the final volume of the buret (mL), volume of NaOH, and concentration of NaOHM)?
arrow_forward
Pls help ASAP
arrow_forward
Based off the chart given what’s the Molarity of HCL in trial #1 and trial #2 and the average ?(show all work)
arrow_forward
prl 1) Please answer and explain, thank you
A diluted solution of NaOH was used to titrate three samples of KHP. Find the concentration of NaOH for each titration and the average concentration.
(attached is a photo)
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning

Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning

Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning

Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY
Related Questions
- Content ra/courses/_74259_1/cl/outline for.. O 12 Steps of Gamble... m Veterans Portal O*NET OnLine EC Home | exploreheal.. Scholarships - SAL. Patient 3) In Part B of the experiment, what volume of ethyldiamine should you add? 4) Why does adding 95% ethanol to the solution cause the compound to precipitate? pH pre-lab At 1) What are you trying to calculate in part A? What are you trying to calculate in part B? 2) HF is as weak, monoptoric acid with a Ka value of 6.6x104, Calculate the pH of a 0.25 M solution of this acid. 3) If you made a buffer solution of HF and NaF, what would be the conjugate base? 4) If the concentration of HF was 0.15 M and the concentration of NaF was 0,25 M. what would be the pH of the buffer? 5) Write a reaction for the neutralization that would occur if you added a small amount of NaOH to the buffer solution desribed in question 3. Ca(OH)2 pre-lab At 1) What are you using as an indicator in this lab? What color indicates the titration has reached completion?…arrow_forwardTable 2. Titration data Trial 1 Trial 2 Trial 3 Initial burette reading (mL) 1.19 2.26 2.39 Molarity of NaOH (M) 0.100 0.100 0.100 Volume of vinegar sample (mL) 5.00 5.00 5.00 Final burette reading (mL) 48.55 49.43 49.99 Expected color at end point Volume of NaOH used (mL) Average Volume of NaOH used in liters Average moles of NaOH used (mol) Average moles of acetic acid (mol) Average molarity of acetic acid (M) Average mass of acetic acid (g) Average mass of vinegar (g) (assume the density of vinegar is 1.00 g/mL) Average mass % of acetic acid in vinegar Known mass % of acetic acid in vinegar is 5.45% Percent Errorarrow_forwardUsing the two images attached please write one paragraph about the ANALYSIS Please please please answer as fast as possiblearrow_forward
- One of your classmates (or you, perhaps!) forgot to add phenolphthalein indicator before starting the titration, and he/she already began adding sodium hydroxide from the buret! Uh oh...what should be done? a) Just restart. The trial is completely ruined. b) Add a couple drops of phenolphthalein into the acid flask. If it remains clear, nothing's wrong. If it changes to dark pink, record the final buret reading and call it a successful trial. c) Add a couple drops of phenolphthalein into the buret to turn the sodium hydroxide solution dark pink. That will really make your instructor happy.......right? d) Add a couple drops of phenolphthalein into the acid flask. If it remains clear, nothing's wrong. If it changes to dark pink, I guess you need to restart! e) Add a couple drops of phenolphthalein into the acid flask just for the heck of it. You need to restart anyways, but why not have some fun?arrow_forwardastering.pearson.com.couiseid-12449557&key=504176635134952610222023#/ MISSED THIS? Read Section 18.4 (Page); Watch KCV 18.4B Consider the curve shown here for the titration of a weak monoprotic acid with a strong base. Hd 14 12 10 8 6. 420 0 40 80 120 160 Volume of base added (mL) The figure shows pH as a function of volume of base added. The pH is measured from 0 to 14 on the y-axis, while the volume of base added is measured from 0 to 160 milliliters on the x-axis. The curve of the plot goes up gradually from pH 2.3 at 0 milliliters to pH 5.8 at 49 milliliters, next the plot goes up steeply to pH 11.8 at 51 milliliters, and finally the plot goes up gradually to pH 12.2 at 160 milliliters. ✓ Correct The equivalence point is the point in the titration when the number of moles of base is stoichiometrically equal to the number of moles of acid. The equivalence point is located at the point of inflection in the middle of the titration curve. For the presented curve, the volume of added…arrow_forwardPlease correct answer and don't use hand raitingarrow_forward
- How do you find the moles of NaOG needed to titrate KGP and the molarity of NaOH? I have some information listen but I so confused on how to get it with the information I have. The molarity might be 0.1 but like I said I don’t know if thats true or how you would get it. I’ve seen other people use it though.arrow_forwardFind the Pka and Ka values for the following indicators, please show work, I am primarily confused how to find the values.arrow_forwardPlease answer letter carrow_forward
- Data: Table 1: Titration of 1.00 mL H2O2 with KMNO4 0.1134M Concentration of KMNO4 Trial # Initial KMNO4 Volume (mL) Final KMNO4 Volume (mL) Volume KMnO4 Used (mL) 1 10 2 10 19.7 19.7 29.6 Pre-lab: 1. What is a titrant? What is the titrant in this lab? 2. What is an analyte? What is the analyte in this lab?arrow_forwardAktiv Chemistry SOMA Login X General Psychology + 0 Aktiv Chemistry MAT 106 -- Trigono... MAT 106, section 8... Brooks 5.01 x 10⁹ Determine the pH of a Tris/TrisH+ buffer solution by constructing an ICE table, writing the equilibrium constant expression, and using this information to determine the pH. The pKa for TrisH+ is 8.30. Complete Parts 1-3 before submitting your answer. ‒‒ Q Search Question 4 of 13 PREV 1 Based on your ICE table (Part 1) and the equilibrium expression for Ka (Part 2), determine the pH of the buffer solution. pH 0.200 2 = 8.40 Studies PSY 7.61 5.60 C A ★ ScholarsApp-Scho... PT Andr S RESET 0.26arrow_forwardWrite the Ksp expression for the sparingly soluble compound silver cyanide, AgCN. If either the numerator or denominator is 1, please enter 1. Ksp = Submit Answer Retry Entire Group 8 more group attempts remainingarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY

Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning

Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning

Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning

Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY