Exam 1 Flashcards
what is the mean and how do you calculate it
-mean = average
-sum of values/ number of values
accuracy
-how close a measurement is to the true value
-compare mean to true value
-assess by absolute error or relative error
absolute error
diff btwn experimental value and true vlaue (Eabs = x - T)
relative error
-compare diff btwn experimental value and true value, against the true value
-(Erel = (x-T)/T
precision
-how close are replicate measurements to each other
-measure of repeatability
-assess by:
stdev
CV
CI
std error of the mean
relative deviation from the mean
standard deviation
-measures precision: how close vlaues are to each other
-use n in denominator for 30 + samples, otherwise use n-1
-SD = square root (sum (xi - mean)^2 / n-1)
sources of error with evaluation of analytical data
-systematic error
-random error
-blunders
systematic error
-results consistently deviate from true value
ex: pipette not calibrated correctly
random error
-can fluctuate and are unavoidable
-ex: differences btwn balances (drafts in the room)
blunders
-big “screw ups”
-ex: pipetting 0.5 ml instead of 1 ml
what is the reliability of analysis?
sensitivity vs. limit of detection
sensitivity
-magnitude of change in measurement with change in conc. of compound
-ex: how great is the change on y-axis relative to change on x-axis
limit of detection (LOD) & values similar to LOD
-lowest possible amount that we can detect with statistical significance
-values similar:
method detection limit
limit of quantitation
what is regression analysis & how is it used
-standard curves: estimates the linear relationship btwn a scalar response and one or more explanatory variables (dep. and indep.)
-used to determine unknown concentrations
->only if conc of substance is
proportional to measurement
what is linear regression most often used to construct?
curves
what is the importance of moisture content
-preservation and stability
-quality factor
-convenience in packaging or shipping
-meeting compositional standards and Standards of Identity
-required for nutrition label calculations
-express results of other analytical determinations on a dry weight basis, for comparison
what are total solids
dry matter that remains after moisture removal
how are challenges created in moisture and water activity analysis
-struct. of water molecules and its moving to and from the environment during sample handling
-measuring water in all its common states
-water interacts with food components
what are water’s common states
solid, liquid, gas
what do you need to do prior to moisture analysis?
minimize moisture losses and gains in sample collection and sampling
how do water molecules interact with each other
-hydrogen bonding
hydrogen bond characteristics
-relatively weak and short-lived
-ex: picoseconds for forming, breaking, and reforming
-stable enough overall for good interactions
dynamic equilibrium
-exists once reversible reaction occurs
-substances transition btwn states at equal rates, no net change
-there is a steady state
steady state
conc. of reactants and products form at such a rate that neither changes
water content direct measurement methods (& how its done)
DONE BY REMOVING WATER
-forced draft oven drying
-vacuum oven drying
-microwave analyzer
-rapid moisture analyzer technology
-thermogravimetric analyzer
-lyophilization
-chemical desiccation
-Karl Fischer titration
water content indirect measurement methods (& how its done)
BASED ON A PROPERTY OF FOOD RELATED TO PRESENCE OF WATER
-dielectric capacitance
-hydrometer
-refractometer
-NIR spectroscopy
-freezing point, cryoscope
-microwave absorption
-conductivity
what do you need to consider when regarding methods?
-how should samples be handled
-what is measured?
-how is water removed/reacted/identified?
-assumptions? and sources of error?
-applications?
-official method requirements
oven drying method principle
-sample is heated to evaporate off water
-weight loss equals moisture content
oven drying method calculation
-% moisture (wt./wt.) = (wet wt. - dry wt. / wet wt.) x 100
oven drying method sources of error
-particle size
-volatile compounds present
-lipid oxidation
-sample very hygroscopic
-alteration of carbohydrates
-surface crust formation
-splattering
-improper storage in dessicator
what does the red box indicate in moisture content by drying oven graph
-indicates the break points at which there is sample break down
microwave drying analyzers characteristics
-greatly reduces analyses time
-allows for in-process analyses & process adjustment
-variables: time and power
infrared drying characteristics
-involves heat penetration directly into the sample (vs. heat conductivity & convection with conventional oven)
Karl Fischer method principle
-volumetric titration of sample with Karl Fischer reagent (KFR), involving reduction of I2 (molecular iodine) by SO2 (sulfur dioxide) in the presence of water
-reach the endpoint of titration when excess I2 present that cannot react with water (measure by visual (color), potentiometric, or conductometric endpoint)
-volume of titrant (KFR) consumed is used to calculate % moisture
Karl Fischer Coulometric method
-Karl Fischer reagent (KFR) must be titrated with a standard to determine KFR water (moisture) equivalence (i.e. how much water reacts with 1 ml KFR)
-water content can be determined immediately from the coulombs required for electrolytic oxidation
how can standardization of the Karl Fischer be done?
-pure water, water-in-methanol standard
-sodium tartrate dehydrate (commonly used)