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Dimensional Dimensional Analysis Analysis Units of measures Units of measures commonly encountered in commonly encountered in the lab the lab

Dimensional Analysis Units of measures commonly encountered in the lab

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Page 1: Dimensional Analysis Units of measures commonly encountered in the lab

Dimensional AnalysisDimensional AnalysisUnits of measures commonly Units of measures commonly

encountered in the labencountered in the lab

Page 2: Dimensional Analysis Units of measures commonly encountered in the lab

Dimensional AnalysisDimensional AnalysisUnits of measures commonly Units of measures commonly

encountered in the labencountered in the lab

gmMng/l

femtogram

Page 3: Dimensional Analysis Units of measures commonly encountered in the lab

From Chapter 13: Seidman and From Chapter 13: Seidman and MooreMoore

I.A. ExponentsI.A. Exponents I.B. Scientific NotationI.B. Scientific Notation II.A. Common logarithimsII.A. Common logarithims II.B. AntilogarithimsII.B. Antilogarithims II.C. Natural logarithims – skip for nowII.C. Natural logarithims – skip for now II. D. pHII. D. pH III. UnitsIII. Units IV.A. EquationsIV.A. Equations IV.B. Units and Mathematical OperationsIV.B. Units and Mathematical Operations

Page 4: Dimensional Analysis Units of measures commonly encountered in the lab

Most Commonly Encountered UnitsMost Commonly Encountered Units

m (meter) g (gram) l (liter)

Page 5: Dimensional Analysis Units of measures commonly encountered in the lab

PrefixesPrefixesm (meter) g (gram) l (liter)

103 mm 103 mg 103 ml

106 m 106 g 106 l

109 nm 109 ng

1012 pg

1015 pg

Use prefixes in tables and graphs

Page 6: Dimensional Analysis Units of measures commonly encountered in the lab

Most Commonly Encountered UnitsMost Commonly Encountered Units

m (meter) g (gram) l (liter)

103 mm 103 mg 103 ml

106 m 106 g 106 l

109 nm 109 ng

1012 pg

1015 fg

Mass of protein, cells Volume of solutions

Weight of single cell

Wavelength of light Size of virus

Mass of DNA

Mass of DNA Volume of DNA or Enzyme

Size of cells

Page 7: Dimensional Analysis Units of measures commonly encountered in the lab

Derived Units - ConcentrationDerived Units - Concentration

g/l = mg/ml = g/l = ng/nl

Page 8: Dimensional Analysis Units of measures commonly encountered in the lab

Derived Units - ConcentrationDerived Units - Concentration

g/l = mg/ml = g/l = ng/nl

103 mg/l = 103 g/ml = 103 ng/l

Page 9: Dimensional Analysis Units of measures commonly encountered in the lab

Derived Units - ConcentrationDerived Units - Concentration

g/l = mg/ml = g/l = ng/nl

103 mg/l = 103 g/ml = 103 ng/l [DNA]

[DNA][Pro]

ppm

Page 10: Dimensional Analysis Units of measures commonly encountered in the lab

Derived Units - ConcentrationDerived Units - Concentration

g/l g/mol

=mol/l(M)

Page 11: Dimensional Analysis Units of measures commonly encountered in the lab

Molar ConcentrationsMolar Concentrations

g/l = mg/ml = g/l = ng/nl___ g/mol mg/mmol g/mol ng/nmol

=? =? =? =?

Page 12: Dimensional Analysis Units of measures commonly encountered in the lab

Molar ConcentrationsMolar Concentrations

g/l = mg/ml = g/l = ng/nl g/mol mg/mmol g/mol ng/nmol

= mol/l (moles per liter) = M (molar concentration)

Page 13: Dimensional Analysis Units of measures commonly encountered in the lab

mMmM

millimolar – units mmol/l – symbol mM

M x 103 eg. 0.05 M = 50 mM

Concentration of buffers (Tris, Phosphate) and other salts (EDTA) in solutions

Page 14: Dimensional Analysis Units of measures commonly encountered in the lab

MM

micromolar – units mol/l – symbol M

mM x 103 eg. 0.5 mM = 500 M

Concentration of trace minerals and vitamins

KM of many enzymes