Question

Aerosol OT is used in veterinary medicine as a laxative. If 250g of AOT is dissolved in 1000ml of glycerin (density of glycerin is 1.25g/ml) the concentration of AOT in the solution is:

a) 0.2 g/ml
b) 0.25 g/ml
c) 0.5 g/ml
d) 1.0 g/ml

Answer 1

The concentration of Aerosol OT (AOT) in a glycerin solution is found by dividing the mass of AOT by the volume of the solution. The volume remains 1000 ml, and after adding the mass of AOT (250 g) to the mass of glycerin (1250 g), the concentration works out to 0.25 g/ml. The correct option is b.

Step-by-step explanation:

To determine the concentration of Aerosol OT (AOT) in the solution, we need to divide the mass of AOT by the volume of the solution in which it is dissolved.

The density of glycerin, which is the solvent used here, is 1.25 g/ml, and since we are asked to find the concentration in g/ml, we will use this density to find the total mass of glycerin, which can then help us to calculate the total volume of the solution.

First, calculate the mass of 1000 ml of glycerin:
Mass of glycerin = density × volume = 1.25 g/ml × 1000 ml = 1250 g

Next, add the mass of AOT to the mass of glycerin to get the total mass of the solution:
Total mass of the solution = mass of AOT + mass of glycerin = 250 g + 1250 g = 1500 g

Since the volume of the solution hasn't changed, it is still 1000 ml. Finally, calculate the concentration of AOT in g/ml:
Concentration of AOT = mass of AOT / volume of solution = 250 g / 1000 ml = 0.25 g/ml

Therefore, the concentration of AOT in the solution is 0.25 g/ml. The correct option is b.