Final answer:
The concentration of potassium nitrate in a solution containing 39.2 g of solute in 177 mL of solution is 22.15 %w/v.
Step-by-step explanation:
The concentration in %w/v (percent weight/volume) of a solution is calculated by dividing the mass of the solute (in this case, potassium nitrate) by the volume of the solution, then multiplying by 100 to get a percentage. For a solution containing 39.2 g of potassium nitrate in 177 mL of solution, the concentration can be calculated as follows:
(39.2 g / 177 mL) × 100 = 22.15 %w/v
This means the concentration of potassium nitrate in the solution is 22.15 %w/v.