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“Statistical Analysis of
Zinc Coated Washers”
Purpose of the ExperimentDetermine how many centimeters
of zinc and layers of zinc atoms
are present on the surface of agalvanized steel washer.
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What is Corrosion?
Natural process of deterioration of metals andalloys in a corrosive environment
!esults in an actual decrease in the thic"ness or
si#e of the ori$inal metallic structure
“A poorly protected
surface can %e a %i$
mista"e & So don't
compromise
(alvani#e)” *
Corroded Galvanized
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The most common corrosion reaction is the
rusting of iron in water
+ ,e - . /01 - 2 10 3&&4 + ,e51/62
The oxidation portion of the reaction results
in the actual loss of metal,e 3&&4 ,e-0 - 0 e& Step one 5176
,e-0 3&&4 ,e-2 - e& Step t8o 5176
,e 3&&4 ,e-2
- 2 e&
1verall 1xidation half&reaction
The reduction portion of the reaction
drives the process of corrosion
10 - 0 /09 - + e&
3&&4 + 1/&
!eduction half&reaction
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What is (alvani#in$?
The process of
galvanizing consists
of coating metals,
such as iron, with a
thin protective layer ofzinc.
The zinc layer
provides protection to
the metal from
corrosion.
:efore ; After
/ot <ip (alvani#in$
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=he steel is protected %y the
surroundin$ #inc even if it is scratched
Cathodic Protection
An anodic layer> such as chromium>
nic"el> copper> or paint> allo8s corrosion to
$ro8 under its layer 8hen it is scratched
Anodic Protection
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Zinc coatings prevent corrosion of the protected metal by forming a
barrier, and by acting as a sacrificial anode if this barrier is damaged.
hen exposed to the atmosphere,
zinc reacts with oxygen to form
zinc oxide, which further reacts
with water molecules in the air to
form zinc hydroxide.
!inally zinc hydroxide reacts with
carbon dioxide in the atmosphere
to yield a thin, impermeable,
tenacious and "uite insoluble dull
gray layer of zinc carbonate which
adheres extremely well to the
underlying zinc, so protecting it
from further corrosion.
/o8 <oes Zinc Protect =he nderlyin$ @ron Surface?
http#$$www.videopediaworld.com$video$%&&'($Deconstruction)*uilding)a)+ouse)Galvanizing)ails
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These potentials indicate the relative thermodynamic
tendency for the indicated half)reaction to occur.
The oxidation of zinc is more li-ely than the oxidation of iron.
Zn 3&&4 Zn-0 - 0 e B E B9D.2 volts
,e 3&&4 ,e-0
- 0 e B
E –
9+9 volts
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&. Get washers, filter paper / 0ernier calipers from the stoc- room.
1. 2eep washers in the same order during the experiment. This can be done
by writing numbers on the filter paper.'. 3ecord on datasheet the inner and outer diameters and the height of each
washer to the nearest 4.4& cm.
Zinc Coatin$ Experiment
5uter diameter
6nner diameter +eight
Fernier Calipers
httpsGHH888youtu%ecomH8atch?vZNoWW8.FI9
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%. eigh and record the mass of each washer to the nearest 4.44& gram.
78a-ing sure to weigh the washers on the same balance each time.9
To eigh# :lace filter paper on the balance. Tare. 7;et the balance to zero.9
:lace the washer on the filter paper. 3ecord weight.
Zinc Coatin$ Experiment
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. 6n an &44 ml bea-er, get <(4 ml of '8 +Cl.
(. =ttach copper wire to one of the zinc washers.
>. Dip the washer in the bea-er of +Cl and observe the reaction.
Zn 7s9 ? 1 +Cl J +17g9 ? ZnCl1 7a"9
Zinc Coatin$ Experiment
@. =llow the reaction to continue until bubbling stops, approximately A4 sec.
7The surface will change from shiny silver to a dull gray.9
A. 3emove the washer from the acid and rinse with distilled water over a waste
bea-er.
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&4. Bse paper towel to dry the washer.&&. :lace dried washer on corresponding
filter paper.
&1. eigh the washer on the same
balance used before.
&'. 3ecord the mass.
&%. 3epeat the same procedure for
other washers.
&.Dispose the washers in the used
solids container.
&(. Dispose the exhausted +Cl in the
li"uid waste container.
Zinc Coatin$ Experiment
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&. 0olume of Zinc Coating 8ass of asher 3eacted $ Density of Zinc
where dzinc>.&% g$cm'
1. Total ;urface =rea of Zinc Total ;urface =rea of asher
'. Thic-ness of Zinc Coating 0olume of Zinc Coating $ Total ;urface =rea of Zinc
%. Thic-ness of Zinc in =toms, where Diameter of Zn atom 1(@ pm, & m &4&1 pm
. rror =nalysis / ;tatistics# !ind the 8ean 7=verage9, ;tandard Deviation andConfidence 6nterval 7A@E9 for 0olume, ;urface =rea and Thic-ness of Zinc in =toms.
+eight of
the washer,
h
Di# 6nner diameter
Do# 5uter diameter
Total ;urface =rea 1π(r 41)r i19? 1πr 4h ? 1πr ih
where r radius F diameter
Calculations
K individual measurements for each 8asher
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AccurateThe average isaccurate but
not precise.
PreciseThe average is
precise but
not accurate.
Accurate ; PreciseThe average is bothaccurate and precise.
Error Analysis of Accuracy ; Precision
Systematic or <eterminate ErrorsG ;hifts in the measured values from thetrue values which reduces the accuracy of a result. 7=n example of a
systematic error is misreading a graduated cylinder9.
!andom or @ndeterminate ErrorsG ;hifts in the measured values from the
true values which influences the precision or scatter of the result. 7xamples
of random errors might be the imprecision among multiple readings9.
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Percent Error [ ] 100% ×
−=
theor
obstheor
X
X X E
The percent error is the absolute value of the "uantity of the theoretical
value minus the observed value divided by the theoretical value andmultiplied by one hundred.
<etermination of AccuracyThe accuracy can be determined by loo-ing at the difference between
the expected 7theoretical9 average and the experimental 7observed9
average.
=he Avera$e or Lean Falue 5x%ar 6
The avera$e or mean of a set of numbers, X i , is found by adding the
numbers and dividing by the number of values, N .
=hus the avera$e of 2> K> D> 2> and K 02 H K or +.
N
X
X
N
ii
∑== 1 Ʃ means sumH
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*Estimate of the Standard Deviation
The standard deviation, a measure of the spread of N values, X i ,
about the average value, σ, a measure of precision, is given by,
1
)(1
2
−
−
=
∑=
N
X X
s
N
i
i
=he Standard <eviation
N
X
N
i
i∑=
−
= 1
2)( µ
σ
6f the number of values, N > is small, i.e., if N I '4, an estimate
of the standard deviation, s, is given by,
The standard deviation is used for large populations, J '4.
We 8ill %e usin$ the
Estimate of the
Standard <eviation
%ecause 8e have a
small data set
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Confidence Limit
X ± t σ
N
Student’st-factors are given in tablesfor different probabilities. (Note: The
table in your book is onpage 56.)
X
wheret isStudent’st-factor.
At the90 % confidence limit, 90
times out of 100 the true value willbe within±1.64σ of the experimentalresults.
The confidence limit defines an
interval about the average that mostlikely contains µ .
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(raphs of the Folume> Surface Area and =hic"ness of Zinc in atoms
:age > K1# 6n xcel 7or any program that will ma-e graphs9,
ma-e ' column graphs where the washers and the average
washer are listed on the x axis of all three. 5n the y axis of graph
K& show their volumesL on graph K1 their surface areasL and, on
graph K' their thic-nesses. Do not forget to include units.
(raph MI
@mportant NoteG Each student must ma"e their o8n $raphs @f %oth la% partners su%mit
identical $raphs> then each la% partner 8ill receive a #ero score for the $raphs or 9HI0 pts
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(raph M0
(raph M2
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/a#ards for Zinc Experiment!eactantG ' 8 +Cl is a corrosive strong acid.
76f spilled, a+C5' will be used to neutralize.9
ProductG +ydrogen gas is flammable.
Stoc"room @nformation:efore Experiment Chec" 1utG
Zinc coated washers & set of 0ernier calipersM
pieces of filter paper & piece of Copper wireM
!eturn to Stoc"roomGI set of Fernier calipers
I piece of Copper 8ire
Place in “sed Solids” %uc"etG washers with Zinc coating removed
pieces of filter paper
After ExperimentG
Pour in “Zinc a%” liOuid 8aste car%oyG
Bsed +Cl with Zn1? / 3insings
Neftover +Cl
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Next Wee" & ,e%ruary I9&I0!eadG Determining the mpirical !ormula of
Copper Chloride 7Text pp. >>)A%9
!eadG 5xidation $ 3eduction 7:ac-et (A)>@9
!eadG Dimensional =nalysis ;ets K1 / K' 7Text pp. 1%)1@9
=urn&@nG &.9 Dimensional =nalysis ;ets K1 / K' 7all problems9
1.9 Zinc pp. ()> 7This includes the :ost)Nab9.
ote# K1 7p >9 ) ou need to ma-e 2 $raphs)
ote# *ottom p( O Pou need to ma-e
a separate calculations pa$e for Med calculations.