## Glossary of Pharm Tech Calculations

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- What is w/w?
- Weight in weight

used when the final product is a solid (powder oint etc) and the component you are measuring the % is also a solid. Units in the numerator and denominator must be the same. (ie lb/lb)

- What is v/v?
- Volume in volume.

is used when the final product is a liquid (solution) and the component you are measuring the % of is also a liquid. Units in the numerator and denominator must be the same (ie ml/ml)

- How many liters of a 1:20 dextrose solution contain 100g of dextrose?
- 100g 1g

______ = _____

? 20ml

?=100g x 20/1

2000ml or 2 liters

- How many ml of ethanol are in 35ml of a 1:2 v/v ethanol solution?
- 1ml ethanol ?

___________ = ________

2ml solution 35ml solu

1mlx35/2

?=17.5ml ethanol

- 1 ounce = _____ grains

1 pound = _____ grains - 437.5 grains

7000 grains

- Using the alligation method,

calculate how many parts of 5% and 20% ointments you will need to make a 10% final product. - 20% (-10%)= 5 parts of 20%

5%(subtracted from 10%)= 10 parts of 5%

- If a label on a vial reads "add 9.2ml of diluent to the vial to get 10ml of a 100mg/ml solution for injection." How many ml of the reconstiututed solution would provide a 250mg dose?
- 100mg x

_____ = _____ x=1000mg/vial

1ml 10ml

1000mg 250gm

______ = ______

10ml x

x=2.5ml

- what is the celsius to fahrenheit temp conversion formula?
- 9(ºC)=5(ºF)-160

converting degrees C to degrees F

ºF = 32 + 5/9

Converting degrees F to degrees C

ºC = 5/9 (ºF-32)

- How much water would you add to 100ml of a 15% kcl solution to get a 5% final product?
- (100ml)(15%) = (X)(5%)

(100ml)(15%)

____________ = x

(5%)

x=300ml total 100ml 15% 200ml of H2O

- if an I.V. order is for 500ml of D5 NS to be given over 4 hours (240 min) & the I.V. set delivers 15 drops per ml, what would the flow rate be?
- 15gtts x

______ = ______ x=7500 gtts

1ml 500ml

7500 x

_____ = _____ x= 31gtts/min

240min 1min

- 1 scruple = ____ grains

1 dram = ___ scruples

1 ounces = _____ drams

- 1 scruple = 20 grains

3 scruples = 1 dram

8 drams = 1 ounce

- 1 teaspoon = ____ml

1 Tablespoonful = ____ml

- 5

15

- convert 39ºF to celcius
- 9(ºC) = 5(39) - 160

9(ºC) = 195-160

9(ºC) = 35

ºC=35/9

ºC=3.9

- 1 gram = ______ grains

1 grain = ____ mg

1 pound = _______gms

1 kg = _______pounds - 1 gm = 15.4 grains

1 grain = 65 mg

1 pound = 454 gms

1kg = 2.2 pounds

- Check the validity of the DEA number AP1857397
- It has 2 letter and 7 digits

Sum of 1,3,5 digits = 9 (sum1)

sum of 2,4,6 digits = 24

24 X 2 = 48 (sum 2)

48+9 = 57 (sum3)

the 7th digit is a 7

The number is valid.

- Convert 80º C to ºF.
- 9(80)=5(ºF)-160

5(ºF)=720+160

5(ºF)= 880/5

ºF = 176

- How many liters of a 5% dextrose solution contain 100g of dextrose?
- 5g 100g

___ = _____ 100g x 100ml/5gm

100ml ?

2000ml

- what is the ratio strength (w/v) of a solution with 2 g of drug in 50ml of solution?
- 1g 2g

___ = ___

? 50ml

1g x 50/2

25ml

ratio is 1:25

- How many grams of dextrose are in 50ml of a 5% w/v solution?
- 5g = ?

____ ____ 5gx50ml/100ml

100ml 50ml

2.5 gms

- How many grams of lidocaine are in 75 g of a 1:50 w/w ointment?
- 1g lido ?

________ = ________

50gm oint 75g oint

?=1gx75/50

?=1.5g lidocaine

- How many ml of ethanol are in 35ml of a 70% v/v ethanol solution?
- 70ml ethanol ?

____________ = _______

100ml solution 35ml sol

70 x 35/100

24.5ml of ethanol

- How many grams of lidocaine are in 75g of a 2% w/w ointment?
- 2g lido ?

_______ = ________

100g oint 75g oint

2 x 75/100

1.5 g of lidocaine

- What is w/v?
- Weight in volume is used when the final product is a liquid as indicated by the v in the denominator and the component your are measuring the % of is a solid as indicated by the w in the numerator. The numerator is always in grams and the denominator is always in ml.

EX: 17g of drug K in 100ml of a final solution would be 17g/100ml=0.17or 17%w/v

- How many gms of a 1:100 hct crm contain 0.5g of hct?
- 1 g hct 0.5g hct

_______ = _________

100g cr ?

?=100gx0.5/1

?=50gm of cream

- How much nacl is in 200ml of a 1:111 solution?
- 1g ?

_____ = ______

111ml 200ml

?=1gm x 200/111

?= 1.8gm

- 1 fluid ounce = _____ ml

1 pt = ______ml

1 gal = ______ ml - 30ml

473ml

3785ml

- What is the formula for checking the validity of a DEA number?
- DEA # should contain 2 letters & 7 #.

Add digits 1,3 & 5 to get sum 1

Add digits 2,4 & 6 & multiply x2 this is sum 2.

Add sum 1 & 2 this is sum 3.

In a valid DEA #, the 7th digit will be the 2nd digit of sum 3. If not, the DEA # is not valid.