Final answer:
The concentration of dioctyl phthalate in a 740 mL solution, from a 3.05 mg sample, is 4120000 parts per billion (ppb).
Step-by-step explanation:
The concentration of dioctyl phthalate in parts per billion (ppb) can be calculated by using the mass of the sample and the volume of the solution.
The formula used is concentration in ppb = (part × 10⁹) / total volume (L). First, we convert the volume of the solution from milliliters to liters. 740 mL is equal to 0.740 liters.
Then we calculate the concentration using the mass of the dioctyl phthalate sample in micrograms (since 1 mg = 1000 μg).
Dioctyl phthalate mass: 3.05 mg × 1000 μg/mg = 3050 μg
Solution volume: 740 mL = 0.740 L
Concentration in ppb = (3050 μg × 10⁹) / 0.740 L = 4.12 × 10⁶ ppb or 4120000 ppb
So the concentration of dioctyl phthalate in the solution is 4120000 parts per billion (ppb).