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Quant Test One
Quant test ONe
91
Chemistry
Undergraduate 3
09/16/2012

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Term
Mean
Definition
qty obtained by dividing sum of measurement by the # of measurements [Exi/n]
Term
Median
Definition
Ressult around which other resutlrs are equally distributed. Usually immune to outliers, depends on # of datapoints.
Term
Precision
Definition
Describes agreement between replicate measurements carries out in same fashion.
Term
Standard deviation
Definition
Sqrt[E(xi-xbar)^2/(n-1)] n-1= degrees of freedom.
Term
Variance
Definition
s^2, they are additive
Term
Relative std. deviation
Definition
RSD= s/xbar*10^p (p=2 -> percent; p=3 -> ppt) etc.
Term
Spread/Range
Definition
Difference in max/min values w=xmax-xmin
Term
Avg. Deviation from Mean
Definition
E|xi-xbar|/n
Term
Accuracy:
Definition
Denotes the closemess of a measure
Term
Absolute Error:
Definition
Compare to true value E=xi-xt(true)
Term
Relative Error:
Definition
xi-xt/xt*100%
Term
Determinant(Systematic)Errors:
Definition
Unidrectional, causing mean to differ from true value

Effect:inaccuracy
Sources: instrumental imperfections/instability in power supplies)
Term
Method Errors-
Definition
nonideal chemical/physical behavior of analytical sys. (slowness, incompleteness of rxn) non specificity
Term
indicator error
Definition
endpoint vs. equivalence pt
Term
Personal Errors:
Definition
Caused by carelessmess, inattention or physical limitations

-less sensitive to color change
-bias in interpolating data
Term
Constant error
Definition
more serious as sample size decreases
Term
proportional error
Definition
scales with measurements dependent on sample size
Term
How do you treat instrumental errors?
Definition
calibration
Term
How do you prevent personal errors?
Definition
care/self discipline
Term
How do you treat method errors:
Definition
detect and adjust with standards
Term
Independent Analysis(treat method errors)
Definition
send away to test or use different method to give same result
Term
Blank determination
Definition
run sample with no analyte present
Term
variation in sample size
Definition
constant error combatant
Term
Gross Errors
Definition
Effect-Inaccuracy
Sources-
personal, arising from carelessness or laziness or ineptitude.
Term
Examples of gross errors
Definition
arithmetic mistakes, incorrectly recording data, spilling solution, act of god.
Term
Indeterminate Errors-(Random errors)
Definition
Effect-Imprecision
occure when system of measurment is extended to maximum sensitivity

additive process of individually insignificant events occuring simultaneously
Term
sample:
Definition
handfull of replicate experiments, scientists carry out

tiny fraction of infinite number of possible exp.
Term
population
Definition
infinite number of possible exps
Term
population mean
Definition
true mean of entire pop. i.e. N->infinity
Term
Population Std. Deviation
Definition
(sigma) Sqrt[E(xi-u)^2/N]
Term
z
Definition
(x-u)/sigma
Term
+-sigma
Definition
68.3% of area under curve
Term
+-2Sigma
Definition
95.4% under curve
Term
+-3Sigma
Definition
99.7% under curve
Term
Spooled:
Definition
Sqrt[EE(xi-xbar)^2/N-nj] where N is the number of experiments and nj is the number of data sets xbar is mean for each data set
Term
Confidence Limits
Definition
interval surrounding mean value, expected to contain true value, u, with a given probability.
Term
if s is a good approx for sigma->
mu=
Definition
x+-zsigma
Term
for data set
mu=
Definition
xbar +-zsigma/Sqrt[N]
Term
When you don't know sigma and only have s
Definition
employ students t test

additional constraint of degrees of freedom
Term
t=
Definition
(x-mu)/s
Term
confidence interval for t test:
Definition
mu=xbar+=ts/Sqrt[N]
Term
Q test
Definition
Qexp=|xq-xn|/w

xq is outlier,
xn is closest neighbor,
w is spread including outlier

compare to Qcrit: If Qexp>Qcrit, you may throw this point out
Term
When considering rejection
Definition
was a gross error involved?
Repeat analysis
Report median as we (or instead) as mean
Term
Standar deviation for addition, subtraction
Definition
S=Sqrt[Sa^2+Sb^2+.....]
Term
Std. deviation for multiplication and division:
Definition
Sy/Y=Sqrt[(Sa/a)^2+(Sb/b)^2+....]
Term
Stoichiometry:
Definition
Weight relationship
Term
Empirical Formula
Definition
Expresses simplest whole number ratio
Term
Chemical Formula
Definition
Specific # of atoms in a molecule
Term
formula weight, or formula mass
Definition
mass in grams of one mole of substance

sum of atomic weights of all atoms

referred to as gfw,MW,gmw,g/mol
Term
millimole
Definition
10^-3 mol
Term
Gravimetric factor
Definition
GF= a/b(mol ratio)*Mm of substance sought/mM of substance measured.
Term
Ideal Precipitate
Definition
Larfe, coarse particles

low solubility

thermal stability @drying temp

known composition
Term
size of colloidal suspension:
Definition
1-1000 nm in diameter
Term
crystalline suspension size:
Definition
1/10 mm or more
Term
colloid properties:
Definition
no rendency to settle, brownian motion trumps gravitational force.

not retained on traditional filtering media
Term
Crystal properties
Definition
easily settle and are filterable
Term
relative supersaturation:
Definition
RS=(Q-S)/S Q: instantaneous/localized concentration of solute
S: Solubility
Term
Relationship of R.S to particle size
Definition
S is large-> colloids

S is small-> solubility
Term
nucleation
Definition
formation of initial particles of solid(4-5 ions, molecules, or atoms) many small particles
Term
Particle Growth:
Definition
further growth on existing particles ("nuclei") few large particles
Term
Nucleation yeilds:
Definition
colloids :( this is bad

exponential RS growth
Term
Particle growth yeilds:
Definition
Crystals :) this is good

linear RS
Term
How can you minimize RD:
Definition
Increase temp(S goes up)(RS goes down)
Dilute solutions(Q goes down, RS goes down) *don't want Q to be high

Slow addition(same reason, don't want spikes in Q)

Stirring (Constat Q down)

control pH (S up and RS down)
Term
Homogeneous ppt
Definition
"in Situ" formation (in medium) of ppting reagent by slow chemical process.
Term
Colloidal precipitates:
Definition
1-100nm
Term
What makes a colloid stable?
Definition
due to ion adsorption(surface effect)of particle (i.e. surface bonding of ions)
Term
Degree of Adsorption is proportional to:
Definition
concentration of more prevalent ion.
Term
peptization
Definition
occurs when washing colloidal ppt with pure water disperses electrolyte layer, repulsice forces take over, forcing particles apart.
Term
How can yo improve the particle size of Crystalline ppts?
Definition
minimize Q

i)use dilute solutions
ii)adjusting pH of ppt medium
Term
Why does digestion yeild purer, more easily filtered crystals?
Definition
it is due to solution and recrystallization increses @ higher Temps.

recrystallization seems to involve bridging between adjacent particles
Term
Coprecipitation
Definition
otherwise soluble compounds are removed from solution during precipitation
Term
When does surface adsoprtion become significant?
Definition
when ppts have large specific surface area (sa/unit mass) this is more of a problem with colloids
Term
How can you minimize surface adsorption?
Definition
digestion

washing with colatile electrolyte
reprecipitation
Term
Mixed Crystal formation:
Definition
different element replaces one of ions in crystal lattice (two ions must have same charge and same size +-5%)
Term
How can you minimize mixed crystal formation?
Definition
separation of interferent before final pptation

choosing different ppt reagint that doesn't contain co-ppt
Term
occlusion
Definition
occurs with rapid crystal growth, not sufficient time for displacement of counterions, so become trapped
Term
how do you minimize occlusion and mechanical entrapment?
Definition
slow the crystal growth
Term
mechanical entrapment "occlusion on steroids"
Definition
several crystals grow together, trapping pocket of solution
Term
What kind of error results from a coppt that is not a compound of analyte ion
Definition
positive error
Term
What kind of error results if coppt does form compount of analyte ion?
Definition
sign of error depends on relative mass of impurity.
Term
Why do you heat a sample?
Definition
to remove solvent and volatile species
Term
Ignition
Definition
conversion of ppt to a different chemical form (weighing form)
Term
basis
Definition
besed on measurement of quantity of reagent necessary to react completely with the analyte
Term
titer
Definition
mass of species that reacts with exactly 1ml of solution
Term
weight by weight ratio
Definition
massA/massSample *10^p

if p is 2 %
p=3 ppt
p=6 ppm etc
Term
p function
Definition
-log[]
Term
solution-diiluent ratio
Definition
volume of conc. reagent diluting volume of solvent
Term
process of titrametric analysis:
Definition
start with standard solution-reagent solution of known conc. upon which methd isbased.
Term
properties of "standard titrant"
Definition
stable
reacts rapidly
reacts completely
selective
Term
properties of a primary standard
Definition
high purity
stable toward air
absence of waters of hydration
readily available at moderate cost
expectation of reasonale solubility in titration medium
reasonably large formula mass so relative error of wighing is minimized
Term
properties of a secondary standard
Definition
impure compound ofknown Assay
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