Solubility is basically a limit to how much solute can dissolve in a given amount of solvent. Concentration is the quantitative amount of solute dissolved at any concentration in a solvent.   Solubility and Saturation     Solubility is the amount of solute that can dissolve in a given amount of solvent at a given temperature. For a given solvent, some solutes have greater solubility than others. For example, you can dissolve more table sugar than baking soda in a given amount of water because sugar is more soluble in water than is baking soda.     Because of solubility, there is a limit... Show more

Solubility is basically a limit to how much solute can dissolve in a given amount of solvent. Concentration is the quantitative amount of solute dissolved at any concentration in a solvent.
 

Solubility and Saturation    
Solubility is the amount of solute that can dissolve in a given amount of solvent at a given temperature. For a given solvent, some solutes have greater solubility than others. For example, you can dissolve more table sugar than baking soda in a given amount of water because sugar is more soluble in water than is baking soda.    
Because of solubility, there is a limit on the amount of solute that can dissolve in a given solvent. Even sugar, which is very soluble, has an upper limit. The maximum amount of table sugar that will dissolve in 1 L of water at 20 °C is about 2000 g. If you add more sugar than this, the extra sugar won't dissolve.    
A solution that contains as much solute as can dissolve at a given temperature is called a saturated solution. A solution that contains less solute than can dissolve at a given temperature is called an unsaturated solution. A solution of 2000 grams of sugar in 1 L of 20 °C water is saturated. Any solution containing less than 2000 g of sugar in 1 L of 20 °C water is unsaturated.    

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