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average formula
x̄ = (sum of values) / n
standard deviation formula
density formula
density = mass / volume
volume formula
volume = mass / density
which is more accurate and precise, volumetric flask or beaker?
volumetric flask
if you see: find volume of water from mass, do this . . .
divide by density (1.00 g/mL)
if you see: a precision question, then . . .
its likely asking for standard deviation
if you see: an accuracy question, then . . .
its likely wanting you to compare something to the true value
dilution equation
C₁V₁ = C₂V₂
calibration curve equation
y = mx + b (absorbance vs concentration)
solve for concentration from absorbance
x = (y − b) / m
percent recovery
% recovery = (measured / expected) × 100
if you are being asked to find concentration from absorbance, then . . .
rearrange line equation to solve for x
if you see: spike recovery, then . . .
(spiked − original) / added × 100
should your concentration ever be negative?
no, there must be a calibration error
what is le chatliers principle?
a system shifts to counteract stress
if you add reactant, the equilibrium will shift . . .
right
if you add product, the equilibrium will shift . . .
left
if the temperature of an endothermic reaction is increased, the equilibrium will shift . . .
right
if the temperature of an exothermic reaction is increased, the equilibrium will shift . . .
left
if you see heat being added, heat is treated like . . .
a reactant
beer’s law
A = εbc
if you’re solving for concentration from beers law, then what’s the new formula?
c = A / (εb)
how do you get moles from mass?
mol = mass / molar mass
what is λmax?
wavelength of max absorbance
if you see: find molar absorptivity, then . . .
ε = A / (bc)
in indicator equilibrium, what do the colors yellow and blue generally translate to?
yellow is for acids and blue is for bases
how do you find molarity?
M = mol / L
how do you find moles from molarity?
mol = M × V
what does equivalence point mean?
mol acid = mol base
what makes polyprotic acids different?
they have multiple equivalence points
if you see: find unknown concentration, then . . .
M₁V₁ = M₂V₂
if you see: find the equivalence point from graph, then . . .
find the largest peak in the derivative graph
if you see: find two endpoints, then . . .
it is a polyprotic acid
what is the cell potential equation?
E°cell = E°cathode − E°anode
what is the nernst equation?
E = E° − (0.0592/n) log Q
what happens at the anode?
oxidation
what happens at the cathode?
reduction
if you see: concentratoon changes, then . . .
use nernst
if you are taking a stock solution and diluting it, what formula are you using?
C₁V₁ = C₂V₂
if heat is a reactant, then . . .
it is endothermic
if heat is a product, then . . .
it is exothermic
if you primarily see more yellow, what is the dominant species?
the acid
if you primarily see blue, what is the dominant species?
the base
explain the variables in beers law? (A=εbc)
a is absorbance, epsilon is molar absorptivity, b is path length (usually 1), and c is concentration
how do you make a calibration curve in excel?
highlight x (concentration) and y (absorbance), then insert scatter plot. be sure to add trendline and R² equation
how do you calculate average in excel?
=Average(range)
how do you calculate standard deviation in excel?
=STDEV.S(range)
how do you approximate derivative in Excel? how do you calculate it?
Δy/Δx = (y₂ − y₁) / (x₂ − x₁) or (pH₂ − pH₁) / (V₂ − V₁)
how do you graph titration data?
x is volume added, y is pH