Mgt510 Assignment 1% Solution Is How Many Mg/Ml

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

first problem
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
---------------
1 gram
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

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Examples

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 Solutions

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:

CONCENTRATIONDOSAGE EQUIVALENCEPERCENT
1:1,0001mg/mL0.1%
1:10,0000.1mg/mL0.01%
1:100,0000.01mg/mL0.001%
1:200,0000.005mg/mL0.0005%

Example

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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