Section 2: Other Stock Solutions

You need to be able to calculate the volume needed of other stock solutions - such as Strong Potassium Chloride Solution and Benzalkonium Chloride. You can use the same methods as you used for the Ethanol calculations.

For example. How many millilitres of Benzalkonium Chloride - supplied as a 5 % w/v solution - do you need to prepare 450 ml of a 1 % solution?

Long Approach Using The Definition of Percent Weight in Volume

For example. How many millilitres of Benzalkonium Chloride - supplied as a 5 % w/v solution - do you need to prepare 450 ml of a 1 % solution?

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Percent Weight in Volume gives the number of grams
of a component in 100 millilitres of the total system.
Find the mass of Benzalkonium Chloride needed for 450 ml of a 1 % w/v solution.
A concentration of 1 % w/v means that:
100 ml of solution contains 1 g of Benzalkonium Chloride. Thus:
450 ml of solution contains 450/100 x 1 g = 4.5 g of Benzalkonium Chloride.
Find the volume of the 5 % solution containing 4.5 g of Benzalkonium Chloride.
A concentration of 5 % w/v means that there are:
5 g of Benzalkonium Chloride in 100 ml of solution. Thus there are:
4.5 g of Benzalkonium Chloride in 4.5/5 x 100 ml = 90 ml of solution.
You need 90 ml of the 5 % Benzalkonium Chloride solution.
Formula:
90.0 ml Benzalkonium Chloride Solution (5 %) to      450 ml Water
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Short Approach Using an Equation

For example. How many millilitres of Benzalkonium Chloride - supplied as a 5 % w/v solution - do you need to prepare 450 ml of a 1 % solution?

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The short approach uses the equation:
Concentration1 x Quantity1 = Concentration2 x Quantity2

Derivation of the Equation

One definition of concentration expressed as a percent weight in volume is:

"Percent weight in volume is the mass - in grams - of a
component present in 100 millilitres of the total system"

This definition leads to the following equation:

Concentration % w/v = Mass (in grams) x           100          
Volume (in ml)

Now, for any dilution, the mass of the component stays the same:
you haven't added anymore of the component.

Rearranging the equations produces:
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Rearranging the Equations

Before Dilution

Concentration1 = Mass x       100      
Quantity1
Concentration1 x Quantity1 = Mass x 100
Concentration1 x Quantity1 =

After Dilution

Concentration2 = Mass x       100      
Quantity2
Concentration2 x Quantity2 = Mass x 100
  Concentration2 x Quantity2

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