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Percentage concentration 
% w/w(weight)----------active ingredient and base have same unit of weight. 
1%=1gm of active ingred per 100gm total product. 
1% w/w= 1gm/100gm 
%v/v(volume)-------solute(active drug) and solvent(inactive base) have same unit 
of volume. 
1% v/v=1ml/100ml 
%w/v(weight/volume)-------solute is in the weight grams and solvent is in 
volume ml. 
1% w/v=1gm/100ml
• 1.4g of phenol mixed with 9g of glycerin. What is % 
concentration of phenol in this product? 
1.4+ 9g =10.4g 
1.4/10.4*100=13% w/w 
4g KCL is dissolved in base to make total of 25ml. 
What is per concentration of final product? 
4/25*100=16%w/v 
10ml glycerin is dissolved in enough water to make 
73ml of final solution. Calc % of strength of glycerin. 
10/73*100=14% v/v
• How much KCL is needed to make 240ml of a 10% 
solution? 
• 10gm/100ml=x gm/240ml 
• X=24g of kcl
alligations 
• Using 2 different concentrations of a drug to arrive 
at final concentration somewhere between the 2 in 
stock. 
• Dr orders 30g of 15% hydrocortisone cream. 
Pharmacy has cream in 20% and also 2%. Alligation 
will combine these to get 30gm, of 15%. 
• See board pg158-------
Ratio concentrations 
Normally this uses epinephrine or potassium 
permanganate. 
You must memorize------- 
1:1000------1mg/ml 
1:100--------10mg/ml 
1:10---------100mg/ml 
Rx is 3mg of epi. Pharm stock is 1:100 solution. How may 
ml will be given? 
10mg/ml= 3mg/xml 
10x mg=3mg 
X=.3ml
• Rx 2.5ml inj of 1:1000 epi is given. How much drug 
did pt get? 
• 1:1000=1mg/ml 
• 1mg/ml=x mg/2.5ml 
• X =2.5mg
Parenteral calculation 
• Done for IV drips. This has greater risk of immediate 
pt harm if wrong. 
• Flow rate=vol/time 
• Pt gets 1L of IV sol over 3 hours. What is flow rate? 
• Flow rate=1000ml/3hrs 
• Fr=333ml/hr --- this means 5.55ml/min
• How many hours will 1L of D5W last when flow rate 
is 125ml/hr? 
• Time=vol/rate 
• time=1000ml/125ml 
• Time=8hr 
• Vol=time *rate 
• Hwo many ml needed to run IV at 60ml/hr for 12 
hours? 
• Vol=12hrs*60mlper hour 
• Vol=720ml
• Gtt/min=volume to be infused *drip set 
rate/infusion time in minutes 
• Rx is d5w at 125ml/hr. admin set is 10gtt/ml. 
How many gtt/min should we use? 
• Gtt/min= 125ml*10gtt/60min 
• Gtt/min=1250/60 
• Gtt/min=20.8 ~21gtt/min
• Gtt/min=volume to be infused *drip set 
rate/infusion time in minutes 
• 300ml of d5w given at rate of 75ml/hr. admin set 
gives 10gtt/ml.how many gtt/min should we use? 
• Gtt/min=vol infused*drip rate/infusion time(min) 
• Gtt/min= 75ml*10/60 
• Gtt/min=750/60 
• Gtt/min=12.5gtt/min ~13ggt/min
• https://www.youtube.com/watch?v=CujuVNn7ROY 
• alligations 
• https://www.youtube.com/watch?v=CujuVNn7ROY 
• Drip rate 
• https://www.youtube.com/watch?v=CujuVNn7ROY 
• Percents 
• https://www.youtube.com/watch?v=CujuVNn7ROY 
• Powder volume

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Perc concentration

  • 1. Percentage concentration % w/w(weight)----------active ingredient and base have same unit of weight. 1%=1gm of active ingred per 100gm total product. 1% w/w= 1gm/100gm %v/v(volume)-------solute(active drug) and solvent(inactive base) have same unit of volume. 1% v/v=1ml/100ml %w/v(weight/volume)-------solute is in the weight grams and solvent is in volume ml. 1% w/v=1gm/100ml
  • 2. • 1.4g of phenol mixed with 9g of glycerin. What is % concentration of phenol in this product? 1.4+ 9g =10.4g 1.4/10.4*100=13% w/w 4g KCL is dissolved in base to make total of 25ml. What is per concentration of final product? 4/25*100=16%w/v 10ml glycerin is dissolved in enough water to make 73ml of final solution. Calc % of strength of glycerin. 10/73*100=14% v/v
  • 3. • How much KCL is needed to make 240ml of a 10% solution? • 10gm/100ml=x gm/240ml • X=24g of kcl
  • 4. alligations • Using 2 different concentrations of a drug to arrive at final concentration somewhere between the 2 in stock. • Dr orders 30g of 15% hydrocortisone cream. Pharmacy has cream in 20% and also 2%. Alligation will combine these to get 30gm, of 15%. • See board pg158-------
  • 5. Ratio concentrations Normally this uses epinephrine or potassium permanganate. You must memorize------- 1:1000------1mg/ml 1:100--------10mg/ml 1:10---------100mg/ml Rx is 3mg of epi. Pharm stock is 1:100 solution. How may ml will be given? 10mg/ml= 3mg/xml 10x mg=3mg X=.3ml
  • 6. • Rx 2.5ml inj of 1:1000 epi is given. How much drug did pt get? • 1:1000=1mg/ml • 1mg/ml=x mg/2.5ml • X =2.5mg
  • 7. Parenteral calculation • Done for IV drips. This has greater risk of immediate pt harm if wrong. • Flow rate=vol/time • Pt gets 1L of IV sol over 3 hours. What is flow rate? • Flow rate=1000ml/3hrs • Fr=333ml/hr --- this means 5.55ml/min
  • 8. • How many hours will 1L of D5W last when flow rate is 125ml/hr? • Time=vol/rate • time=1000ml/125ml • Time=8hr • Vol=time *rate • Hwo many ml needed to run IV at 60ml/hr for 12 hours? • Vol=12hrs*60mlper hour • Vol=720ml
  • 9. • Gtt/min=volume to be infused *drip set rate/infusion time in minutes • Rx is d5w at 125ml/hr. admin set is 10gtt/ml. How many gtt/min should we use? • Gtt/min= 125ml*10gtt/60min • Gtt/min=1250/60 • Gtt/min=20.8 ~21gtt/min
  • 10. • Gtt/min=volume to be infused *drip set rate/infusion time in minutes • 300ml of d5w given at rate of 75ml/hr. admin set gives 10gtt/ml.how many gtt/min should we use? • Gtt/min=vol infused*drip rate/infusion time(min) • Gtt/min= 75ml*10/60 • Gtt/min=750/60 • Gtt/min=12.5gtt/min ~13ggt/min
  • 11. • https://www.youtube.com/watch?v=CujuVNn7ROY • alligations • https://www.youtube.com/watch?v=CujuVNn7ROY • Drip rate • https://www.youtube.com/watch?v=CujuVNn7ROY • Percents • https://www.youtube.com/watch?v=CujuVNn7ROY • Powder volume