Dnorth in Pocahontas, Iowa said: I am looking to get how to get the answer, not the answer to the following:
0.027 gm = _____ mcg
Also I need to convert apothecary units:
30 gr = _______ounce and
1 fl dram = _____ fl oz.
convert household measurements:
10 ml = ______tsp
1 gram = 1,000,000 micrograms
so if you divide each side by 1 gram you get
1 = 10^6 micrograms/1 gram
it's equal to one because 1 gram and 10^6 micrograms are the same thing. it's just like saying 3/3 = 1 and t/t = 1
moreover, if you multiply anything by 1, that anything is still the same thing. so if you multiply 0.027 grams by 1, it's still 0.027. if you multiply 0.027 grams by 10^6 micrograms/1 gram, the mass is still gonna be worth 0.027, it's still the same amount, just the unit changes.
0.027 grams x 10^6 micrograms
so you multiply 0.027 grams by 1 (which in this case is 10^6 micrograms/1 gram). the unit of grams cancel out so you get
0.027 x 10^6 micrograms
which simplifies to
27,000 micrograms or 2.7x10^4 micrograms
1) Prepare a 1% solution of Brevital (500 mg of powder in bottle). How many mL of sterile water will you use?
Answer: First convert 1% solution to mg/cc. A 1% solution is the same as 1000 milligrams in 100 cc or 10mg/cc.
Percent solutions all are 1000mg/100cc. For example a 2% = 20mg/cc, 5% = 50mg/cc, 5.5% = 55mg/cc, etc...
Now you have all the information needed to use the IV dosage calculator. This problem is the same as the doctor ordering a 500 mg IV bag of Brevital: 500 mg = dose ordered, 10mg = dose available, and 1cc = mL available (the last two values come from 10mg/cc obtained above). The answer is 50cc.
2) 1.4cc of ½% tetracaine (Pontocaine) was given in a subarachoid block. How many mg were given?
Answer: First convert ½% to mg/cc. A 0.5% solution is the same as 500mg/100cc (5mg/cc).
Now you have all the information needed to use the mL/hr to dose/hr calculator. 1.4 cc = mL given, 5mg = dose available, and 1cc = mL available. So 7mg of tetracaine were given.
Epinephrine vials are also labeled by concentration of a ratio of medication per mL. For example, a solution may be labeled as 1:100,000. This concentration represents 1000mg/100,000mL or 0.01mg/mL. Here are some others:
How many mg of epinephrine are in 5cc of a 1:10,000 solution?
Answer: First convert 1:10,000 into mg/cc.
1:10,000 = 1000mg/10,000cc = 0.1mg/cc
Next use the IV dose given calculator. 5cc = mL given, 0.1mg = dosage available, and 1cc = mL available. The answer is 0.5 mg of epinephrine were given.
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