[PDF] [PDF] Dilution of solutions for nurses - Mathcentre

This leaflet explains how dilution calculations are performed The strength of a As a ratio it would be written as 5 in 100 or simplified to 1 in 20 Whatever form



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Dilution of solutions for nurses

mc-nursing1-1-dilution

Introduction

In order to maximize all available storage space most solutions are stored in a concentrated form (known asstock). These solutions are then diluted to the required strengthas and when required for the individual patient. This also means the same solution substance may be used for a different range of treatments. This leaflet explains how dilution calculations are performed.

The strength of a solution

When stating the strength of solution required it may be expressed inpercentage strength, ingrams

per litre,millilitre per millilitreor asratio strength. Whenever it is expressed as a percentage there

is an equivalent ratio and similarly if expressed as a ratio it could also be expressed as a percentage.

For practical purposes weak or very dilute solutions ratiosof 1:1000, 1:2000 and 1:5000 maybe written as1

1000,12000,15000rather than the more accurate11001,12001,15001.

Remember that the word percent means parts per hundred. For example 5% means 5 parts per hundred parts. As a ratio it would be written as 5 in 100 or simplified to 1 in 20. Whatever form the strength is given in, we always use the same equation: Amount of stock required=Strength RequiredStock Strength×Volume Required

ExampleCalculate the amount of

(i) stock solution required, and (ii) water required to make 1.5 litres of 10% solution from 100% Stock Strength. Solution10% solution strength is equivalent to 1/10. 100% is equivalent to 1/1.

Amount of stock required=Strength Required

Stock Strength×Volume Required

1/10

1/1×1.5

= 0.15 litres = 150 ml www.mathcentre.ac.uk 1c?mathcentre 2009

Water Required=Volume Required-Stock Required

= 1500 ml-150 ml = 1350 ml In this Example, Stock Strength was given as 100% which may also be written as 1/1 or 1 in 1. Had the Stock Strength been given as a ratio or percentage then simply convert this to a fraction and complete the equation. ExampleHow much stock is required to make 3 litres of 1 in 80 solution from a stock strength of

1 in 40. The basic equation gives

Amount of Stock Required=1/80

1/40×3

1

2×3

= 1.5 litres Similarly for a percentage stock strength solution the equation will be as in the following example.

ExampleCalculate the amount of

(i) stock solution required, and (ii) water required to make 0.4 litre of 1% solution from 2% Stock Strength.

Amount of stock required=Strength Required

Stock Strength×Volume Required

1/100

2/100×0.4

= 0.2litres = 200ml

Water Required=Volume Required-Stock Required

= 400 ml-200 ml = 200 ml ExercisesCalculate the amount of (i) stock solution required, and (ii) the water required to make the following solutions. Give your answers in millilitres:-

1. 800 ml of lotion from stock strength 1 in 10 to make strengthof 1 in 40.

2. 1 litre of chlorhexidine 1 in 5000 from a stock chlorhexidine of 1 in 1000.

3. 50ml of cocaine solution 1% from stock solution of 2%.

4. 1000ml of 2% sodium hypochlorite solution from 10% sodiumhypochlorite solution.

5. 0.6 litre of 2% solution from a stock strength solution of 1in 25.

6. 5 litre of 1:5000 solution from a stock strength solution of 0.2%.

Answers:1. (i) 200ml (ii) 600ml 2. (i) 200ml (ii) 800ml 3. (i) 25ml (ii)25ml 4. (i) 200ml (ii)800ml

5. (i) 300ml (ii) 300ml 6. (i) 500ml (ii) 4500ml

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