Molarity
Chemistry: IB Diploma Higher Level, topic 1.9.1
Molar Calculations of Solutions
We can calculate the number of moles of a liquid or solution using the volume and concentration.

Heterogenous vs homogenous
- Solutions are sometimes known as homogenous mixtures and can be liquid, solid, or gas.
- In solutions, the constituents have the same proportions throughout the sample, so the macroscopic properties of the solution are consistent throughout.
- Heterogeneous mixtures have a non-uniform composition and the macroscopic properties vary depending on the constituents.
- In heterogeneous mixtures, you can separate the individual components. An example would be a cup of water with gravel in.

Liquid solutions
- Liquid solutions can be represented in a variety of ways. The most common way in a laboratory is "molarity".
- It's much easier to look at a liquid and measure its volume than to evaporate any water and measure the mass of the remaining solid.
- So we need a value that will let us know how much of a solid is dissolved in a solution simply from its volume.
- If we know the concentration of a solution, we can calculate the number of moles in any sample volume of the solution.
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The equation
- Molarity is defined as moles per unit volume. The usual units of molarity are moles per liter (L).
- So moles per liter is mol ÷ L.
- This is often written as mol L -1 or just "M".
- Molarity is sometimes written as moldm -3, where 1 L = 1 L. (Same thing, just different units!)
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An example
- Three moles of NaCl are dissolved in half a liter of water.
- Molarity = number of moles ÷ volume
- Molarity = 3 mol ÷ 0.5 L
- Molarity = 6 mol/L or 6 M
Test yourself on Molarity
What are the units of molarity?
Which of the following is true of molarity?