CHEM211 Lecture Notes - Efflorescence, Equivalence Point, Analyte

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Gaussian (Normal) Distribution
Population mean (true) = Average
Standard Deviation
+/- 1 SD = 68%
+/- 2 SD = 95%
+/- 3 SD = 99.7%
Confidence Intervals
Range of values within which the specified probability that the true value lies.
Tcalc > Ttable → values are different based on specific confidence limit → systematic bias is
present.
Tcalc<Ttable → values are the same within that confidence limit.
Power of Replicates
As replicates increase, the CI interval decreases.
Reduce the chance that random errors will result in incorrect results.
More accurate due to partial compensation when averaging random errors.
Propagation of Random Error
Uncertainty for adding and subtracting → S total = ( (S1)^2 + (S2)^2 )^1/2 .
Uncertainty for multiplying and dividing → %RSD = ( (%RSD1)^2 + (%RSD2)^2)^½
Titration Reaction Requirements
Reaction must be quantitatively complete
Greater than or equal to 99.9% complete.
Less than 0.1% (or 1 ppt) remains unreacted.
Can be predicted from equilibrium constants
Reaction must be rapid → performed within reasonable time period.
Stoichiometry must be well defined and known
Method available to accurately estimate equivalence point.
Volumetric Titrations (Direct Titration)
Standardization → Pipet known volume concentration standard into flask.
Standardization → Titrate standard to calculate exact concentration of titrant.
Analysis → Pipet known volume of unknown concentration of sample and titrate.
Standards
All measurements referenced to standards → accuracy only as good as quality and accuracy of
standards.
Purity and composition are well known and defined.
Primary Standards;
High purity → 99.9%
Atmospheric stability → Can be stored indefinitely
Low hydrogscopocity and efflorescence.
High solubility (for titration).
High molecular weight so that it can be weighted with high precision.
Modest cost.
Secondary Standards;
Solution standardized against primary standard solution.
Make titrant up to an approximate known concentration.
Titrate known amount of primary standard
Use stoichiometry to calculate titrant moles. → Use volume of titrant needed to reach
endpoint to calculate [titrant].
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Document Summary

Range of values within which the specified probability that the true value lies. Tcalc > ttable values are different based on specific confidence limit systematic bias is. Tcalc