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(mass analyte / total mass) x 100 |
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mg / L
(mass analyte / mass tot soln) x 10^6 |
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(mass analyte / mass tot soln) x 10^9 |
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g / L
(mass analyte / mass tot soln) x 10^3 |
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indicies of refraction cause a solution to look oily if it is not well mixed |
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Systematic Errors (Determinate) |
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Random Errors (Indeterminate |
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how close to the correct value (error) |
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how consistent you are (deviation) |
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actual error/ actual value |
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√ {[∑(x – mean)^2] / N-1} |
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aA + bB --> cC + dD Find Keq |
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[C]^c x [D]^d / [A]^a x [B]^b |
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Combine H2CO3 --> H+ + HCO3- Keq1 HCO3- --> H+ + CO32- Keq2 |
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H2CO3--> 2H+ + CO3 2- Keq = (Keq1)(Keq2) |
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Reverse: H2CO3 --> H+ + HCO3- Keq1 = 4.45x10^-7 Keq = (Keq1)(Keq2) |
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HCO3- + H+ --> H2CO3 Keq= 1/Keq1 = 2.25x10^6 |
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smaller Ksp precipitates first |
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a salt will be less soluble if one of its constituent ions is already present in the solution |
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Acids and Bases Arrhenius Bronsted-Lowry Lews |
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H+ and OH- H+ donar and H+ acceptor e- acceptor and e- donar |
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HOAc Carboxylic Acids HF H2S H3PO4 H2CO3 |
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Find Kb NH3 + H2O --> NH4+ + OH- |
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Kb = [NH4+]x[OH-] / [NH3] |
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Kjeldalhl For N (volumetric) |
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-sample placed in boiling H2SO4--> NH4+ + CO2 + H2O -add excess base to convert NH4+ --> NH3 -distill the NH3 into a known conc. of HCl (some of the HCl will be neutralized, but not all) -titrate the excess HCl with NaOH -the difference in moles correlates to the moles of NH3 consumed |
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observed in lab --> color change |
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What is the equivalence point? |
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mol of titrant = mol of anlayte |
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1/2 ∑CnZn^2 = µ C=Concentration Z=Charge |
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Debye- Huckle Equation (for calculating γ) |
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logγ = (-0.51 x z^2√µ) / (1 + {[α√µ]/305}) γ = activity coefficient z = ion charge µ = ionic strength in [M] α = hydrated ionic raiums in ppm |
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(conc1/ dens1) = ( conc2/ dens2) [M]( 1 ± coeff. of therm. expan)(∆ temp)= |
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Comparing an answer with the accepted answer within a specified confidence limit of a small data set (replication of a measurement with one overall mean and standard deviation) |
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Use the Confidence Interval: µ = [m ± (ts)] / √n look up t value for whatever degrees of freedom your data has (df = n-1) |
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Comparing two different methods to see whether they agree with each other within a specified confidence limit. Measuring a qunatity multiple times with different methods; each data set has its own mean and standard deviation. |
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tcalc = |m1-m2| / spooled calculate this t and compare to a t value from the table |
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Comparing whether 2 methods agree with each other when a sample is measured once by one method and then again by another. Then different sample is measured once by method 1 and once by method 2. This is repeated for n different samples |
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1.Standard Deviation of the differences: sd=√( [∑ (di - d)^2] \ n-1 ) di=difference between two methods d= mean of the differnces 2. tcalc=(|d|/sd) √ n |
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coefficient of variation (relative standard deviation) |
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Standard Error of the Mean |
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