40.0 grams of Al2S3 are dissolved into 200ml of water yielding 220ml of solution, what is the percent strength of the solution?
%w/w, %w/v. From the way the problem is stated I assume you want %w/v.
% w/v = (grams solute/mL volume) x 100 = % w/v
(40/220)*100 = ?
To find the percent strength of the solution, we need to calculate the mass of the Al2S3 that is dissolved in 1 ml of the solution.
Given:
Mass of Al2S3 = 40.0 grams
Volume of water = 200 ml
Final volume of solution = 220 ml
Step 1: Calculate the mass of Al2S3 in the solution
Mass of Al2S3 = 40.0 grams
Step 2: Calculate the mass of 1 ml of solution
Mass of 1 ml of solution = Mass of Al2S3 / Volume of solution
= 40.0 grams / 220 ml
= 0.1818 grams/ml
Step 3: Convert grams/ml to percent strength
Percent strength = (Mass of 1 ml of solution / 1 ml) × 100%
= (0.1818 grams/ml / 1 ml) × 100%
= 18.18%
Therefore, the percent strength of the solution is 18.18%.
To find the percent strength of the solution, you need to calculate the amount of solute (Al2S3) in grams dissolved in the solution and then divide it by the total volume of the solution, which is the sum of the initial volume of water and the volume of the solute dissolved.
First, we need to convert the volumes from milliliters to liters:
Initial volume of water: 200 ml = 200/1000 = 0.2 L
Final volume of solution: 220 ml = 220/1000 = 0.22 L
Then, we can calculate the concentration (or strength) of the solution in grams per liter (g/L) by dividing the mass of the solute (Al2S3) by the final volume of the solution:
Concentration (g/L) = (Mass of solute / Final volume of solution)
Mass of solute = 40.0 grams
Final volume of solution = 0.22 L
Concentration (g/L) = (40.0 g / 0.22 L)
Now, we can convert the concentration to percent strength by multiplying it by 100:
Percent strength = (Concentration x 100%)
Percent strength = (Concentration (g/L) x 100)
To find the percent strength of the solution, we can substitute the values into the equation:
Percent strength = [(40.0 g / 0.22 L) x 100%]
Now we can calculate the percent strength:
Percent strength = (181.82 g/L x 100%)
Percent strength ≈ 18.18%
Therefore, the percent strength of the solution is approximately 18.18%.