8.08g of KNO3 were required to saturate 25g of distilled water at 20oC. Calculate the solubility of the solute in

a) g/dm^3 of water
b) mol/dm^3 of water

To calculate the solubility of the solute, KNO3, in grams per decimeter cubed (g/dm^3) of water, and in moles per decimeter cubed (mol/dm^3) of water, we need to use the given information.

Let's start by calculating the solubility in grams per decimeter cubed (g/dm^3) of water:

a) Solubility in g/dm^3:
The solubility of the solute is given by the ratio of the mass of solute (KNO3) dissolved in a given volume of solvent (water). In this case, 8.08g of KNO3 is dissolved in 25g of distilled water.

To calculate solubility, we divide the mass of the solute by the volume of the solvent:
Solubility = Mass of solute / Volume of solvent

Given: Mass of solute = 8.08g and Volume of solvent = 25g

Solubility = 8.08g / 25g = 0.3232 g/dm^3

Therefore, the solubility of KNO3 in grams per decimeter cubed (g/dm^3) of water is 0.3232 g/dm^3.

b) Now let's calculate the solubility in moles per decimeter cubed (mol/dm^3) of water:

To convert from grams to moles, we need to know the molar mass of KNO3. The molar mass of KNO3 is calculated as follows:

Molar mass of K = 39.10 g/mol
Molar mass of N = 14.01 g/mol
Molar mass of O (3 atoms) = 16.00 g/mol x 3 = 48.00 g/mol

Total molar mass of KNO3 = 39.10 g/mol + 14.01 g/mol + 48.00 g/mol = 101.11 g/mol

Now, we can calculate the solubility in mol/dm^3:
Using the ratio of grams to moles, we divide the mass of solute by the molar mass of the solute:

Solubility = Mass of solute / Molar mass of solute

Given: Mass of solute = 8.08g and Molar mass of solute = 101.11 g/mol

Solubility = 8.08g / 101.11 g/mol = 0.0799 mol/dm^3

Therefore, the solubility of KNO3 in moles per decimeter cubed (mol/dm^3) of water is 0.0799 mol/dm^3.