# 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 = _____ mcgAlso 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

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:

CONCENTRATION | DOSAGE EQUIVALENCE | PERCENT |

1:1,000 | 1mg/mL | 0.1% |

1:10,000 | 0.1mg/mL | 0.01% |

1:100,000 | 0.01mg/mL | 0.001% |

1:200,000 | 0.005mg/mL | 0.0005% |

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/ccNext 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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