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specific gravity
ratio of mass of a substance to mass of an equal volume of water
specific gravity of water
1
assigned units for specific gravity when using metric system
g/mL
what is specific gravity used for?
converting volume to weight and weight to volume
when given a volume in mL, how do you convert it to weight in g?
multiply volume by specific gravity (g/mL)
when given a weight (g) how do you convert to volume (mL)?
divide by specific gravity (g/mL)
what does percent mean?
“in a hundred”
what does a percentage mean?
rate per hundred
units for percentage preparations
g and mL
what does w/v% mean?
# g in 100 mL
a way to express the concentration of a solution
indicates mass of solute (g) present in a specific volume of solution (mL)
what does a 1% w/v solution mean?
there is 1 gram of solute in every 100 milliliters of the solution
what does v/v% mean?
# mL in 100 mL
measure of concentration that expresses the ratio of the volume of a solute to the total volume of the solution, multiplied by 100
commonly used for liquid solutions where both the solute and solvent are liquids
what does a solution that is 70% v/v ethanol mean?
there are 70 mL of ethanol in every 100 mL of the solution
what does w/w% mean?
# g in 100 g
expresses the concentration of a substance in a mixture based on the weight of the solute relative to the total weight of the solution
Specifically, it indicates how many grams of solute are present in every 100 grams of the total mixture
what does it mean if a solution has a concentration of 10% (w/w)?
there are 10 grams of solute in 100 grams of the solution
define percentage preparation
calculating the % strength given the amt of drug and the total qty of the preparation
amt of drug/total qty x100 = %
purpose of percentage preparations
to calculate the amt of drug given the percentage strength and the total quantity of the prescription
how do you calculate the amt of drug given the percentage strength and total qty of the prescription?
percentage (as decimal) x total qty = total amt of drug
what is the diff b/w dissolving/incorporating something and using something to make a sufficient quantity?
if dissolving/incorporating, this amount must be added to the total (denominator)
don’t need to do this for qs
how do you convert from w/w% to w/v%?
multiply % by specific gravity
how do you convert from w/v% to w/w%?
divide % by specific gravity
uncommon in real world
ratio strength
expresses concentration of weak compounds
designated as 1 : X (1 part drug to X parts total compound)
define mg%
# mg drug in 100 mL of solution
used mainly for conc. of drug in the blood, glucose, cholesterol
always label as mg %
parts per million
# grams or mL of drug per one million grams or mL of product
used for very dilute solution like fluoride in drinking water
dilutions are _________ proportions
inverse
amount of drug remains ________ in dilutions
constant
in a dilution, as total qty changes, the concentration of drug changes with…
the addition or removal of solvent
standard dilution equation
Q1C1 = Q2C2
concentrated acids are measured as _____
w/w%
when a concentrated acid is diluted (qs’d w water to a desired volume) it becomes ______
w/v%
equation for concentrated acids
Qconc (Cw/w%) (sp gr) = Qdilute (Cw/v%)
2 types of alligation
alligation medial
alligation alternate
define alligation
method of solving problems that involves the mixing of solutions or mixtures of solids possessing diff percentage strengths
alligation medial
method by which the weighted avg percentage strength of a mixture of 2+ substances of known quantity and concentration may be easily calculated
equation for alligation medial
sum (% strength x qty) / total qty = %
alligation alternate
method used to determine the qtys of ingredients of differing strengths needed to make a mixture of a desired strength
uses matching pairs to solve for ratio of “parts” for the prescription placed on a working diagram