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

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

  • 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.
The equation

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!)
An example

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?

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