what is the %w/v concentration of a solution made by mixing 35 grams of the main ingredient in 500 grams of vehicle (specific gravity 1.2000)

To determine the %w/v (weight/volume) concentration of a solution, you need to calculate the weight of the solute (main ingredient) per unit volume of the solution.

1. First, you need to find the weight of the vehicle in the solution.
Weight of the vehicle = volume of the vehicle * specific gravity of the vehicle
In this case, the volume of the vehicle is 500 grams (since water has a density of 1 g/mL), and the specific gravity is given as 1.2000.
Weight of the vehicle = 500 g * 1.2000 = 600 grams

2. Next, calculate the weight of the solute (main ingredient) in the solution.
Weight of the solute = 35 grams

3. Finally, determine the %w/v concentration by dividing the weight of the solute by the total weight of the solution and multiplying by 100.
%w/v concentration = (weight of the solute / total weight of the solution) * 100
%w/v concentration = (35 g / (35 g + 600 g)) * 100
%w/v concentration = (35 g / 635 g) * 100
%w/v concentration ≈ 5.51%

So, the %w/v concentration of the solution made by mixing 35 grams of the main ingredient in 500 grams of vehicle (specific gravity 1.2000) is approximately 5.51%.