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when are sig.figs significant?
non-zero digits, captive zeros between nonzero numbers, trailing zeros after a decimal point
when are sig figs not significant?
leading zeros
what is the sig fig rule when multiplying or dividing
the result matches the factor with the fewest total sig figs
what is the rule with sig figs when adding or subtracting
the result matches the number with the fewest sig fig decimal places
when do you round to the next even number?
when the digit beyond the last sig fig is exactly 5
what is molarity formula?
n solute / volume of solution in L
what is molarity dependent on?
is temperature dependent because liquid volume changes witg density
what is the mass concentration formula?
m solute over v solution in L
what is molality formula
n solute over m solvent in kg
what is molality dependent on
it is actually independent of temperature because mass doesnt change with temperature
what is mass percent or weight percent
mass solute over mass solution times 100%
what is percent volume
volume solute over volume solution times 100
what mass volume or weight volume
mass solute in g over volume solution in ml times 100
what is parts per million
1 mg of solute over 1 L solution
what is parts per billion
1 microg solute over 1 L solution
what is dilution equation
MconcVconc=MdilVdil
what is dilution equation for mass conc
c conc V conc = c dil V dil
what is dilution equation for mass percent
c conc m conc = c dil m dil
what is density equation
m over V
what is specific gravity equation
d substance over d water
what is percent relative error
%e = e abs divided by measured value times 100
what is the error propagation formula for addition or subtraction
ey=ex12+ex22+ex32
what is multiplication division error propagation formula
%ey=(%ex1)2+(%ex2)2+(%ex3)2
what is a sample
portion of the material selected for analysis
what is matrix
all substances comprising the material except the analyte
what is analyte
the specific substance of interest being measured
what is interference
a species in the matrix that causes an increase or decrease in the detector signal of the analyte
what is masking
transforming an interfering species into an unreactive form so its not detected
what is homogeneous sampling type
uniform composition throughout
what is heterogeneous random sampling type
fine scale random variation, taking random samples
what is heterogeneous segregated sampling type
large segregated patches, take a composite sample proportional to the percent makeup of each region
what goes on the x axis of calibration curves
analyte concentration
what goes on the y axis of calibration curves
detector response
what is the purpose of calibration curves
to measure the response of an unknown to interpolate its exact concentration using y=mx+b
what does qualitative mean
what is present, identification
what does quantitative mean
how much is present , how much is present
what are the steps to chemical analysis
formulating the question
selecting analytical procedures
sampling
sample prep
chemical analysis
reporting and interpret
drawing conclusions
what is random type of error
uncontrolled fluctuations with equal chance of being positive or negative
affects precision
cant be eliminated but is quantified
what is systemic type of error
flaws in equipment or method design that cause reproducible one directed shifts
affects accuracy
can be detected and corrected
what is gross error
major departure from experimental procedure
leads to outliers
must be discarded
detecting systematic error
analyzing certified reference materials
analyzing blank samples
comparing independent analytical methods
what do you do if G cal is more than G crit
reject the outlier, recalculate the mean and standard deviation without the outlier
what do you do if G calc is less than G crit?
keep the outlier
what do you do if F calc is more than F table
reject the H0, the standard deviations are significantly different
what do you do if F calc is less than F table
accept the H0, the precision between the two sets isnt significantly different
what does k signify in calibration calculations
the number of replicate measurements of the unknown
what does mu +- 1 theta cover?
68.3% of expected values
what does mu+-2theta cover?
95.4% of expected values
what does mu+-3theta cover?
99.7% of expected values
what does null hypothesis mean
that there is no significant difference
what does alternative hypothesis state
that the significant difference exist
what do two tailed tests test
if a value is significantly different than a reference
what do one tailed tests test
used only when one direction matter
what do you do for external calibrations
prep standards independently
use 6 standard concentrations
measure replies of unknown samples
always interpolate within the calibrated linear range
what are the factors that minimize uncertainty
increasing replicate measurements of the unknown (k)
increasing the number of calibration standards (n)
having a steeper slope
minimizing scatter around the line
centering y unk near the centroid mean of standards
what is linear range
signal is directly proportional to concentrations
for quantitative analysis
what is dynamic range
range over which any measurable detector response occurs
what happens when Q < K
the chemical equilibrium moves forward ( toward the products)
what happens when Q > K
the equilibrium shifts backwards, towards reactants
what happens when Q=K
the equilibrium is established
how do you calculate formal concentrations after dilution
M1V1=M2V2
what happens when Qsp > Ksp
precipitate forms
what happens when Qsp < Ksp
no precipitate forms
how do you perform gravimetric caculations?
Mass of analyte = mass of precipitate X (FW analyte / FW precipitate) x (moles of analyte / moles precipitate)
what is Kw equal to?
1×10-14 at 25 degrees C
how do you find pH?
-log [H3O+]
how do you find pOH
-log [ OH-]
pH + pOH =
pKw or 14.00
what is the Le Chatelier’s principle
when a system at equilibrium is disturbed, it adjusts to counteract the disturbance
when adding or removing reactant, what happens to the equlibrium
it shifts towards products
what happens when you decrease or increase pressure
pressure shifts toward fewer gas molecules
what does increased temperature favors?
endothermic reaction
what does decreased temperature favors?
exothermic reaction
what does arrhenius acid produce
H+
what does arrhenius base produce
OH-
what is bronsted lowry acid
a proton donor ( H+)
what is bronsted lowry base
a proton acceptor
what is lewis acid
an electron pair acceptor
what is a lewis base
an electron pair donor
what are ionizable hydrogens
are attached to highly electronegative atoms
hydrogens bonded to carbon are non-polar and non-ionizable
central metal cation
lewis acid
ligand
lewis base
monoprotic
1 hydrogen
diprotic
2 hydrogens
triprotic
3 hydrogens
polyprotic
more than 2 hydrogens
monodentate
1 donor atom
bidentate
2 donor atoms
multidentate or chelating
more than 2 donor atoms
titrant
known standard solution delivered from a buret
analyte ( titrand)
solution of unknown concentration in the receiving flask
equivalence point
theoretical stoichiometric point where moles of titrant added exactly equal analyte moles
end point
physical change observed experimentally
titration error
difference between the observed endpoint volume and the theoretical equivalence point volume
primary standard
highly pure, stable, non-hygroscopic compound used to standardize titrants
what is the first derivative
endpoint is the peak maximum
what is second derivative
endpoint is the zero crossing
selective precipitation
adding a precipitating counter-ion allows separation of two cations if their Ksp values differ by several orders of magnitude
the least soluble precipitates first
coprecipitation
an otherwise soluble compound precipitates along with the target precipitate via surface absorption or crystal lattice inclusion
common when precipitates share identical crystal structures
when is pH = 7 at equivalence point
strong acid + strong base