Final answer:
To calculate the amount of dextrose in a 750 ml bottle of solution containing 5% dextrose, assuming a density approximately equivalent to water, we multiply the volume by the percentage concentration. The correct answer is 37.5 grams of dextrose.
Step-by-step explanation:
The question asks for the calculation of the amount of dextrose in a 750 ml bottle of solution that is labeled as 5% dextrose. Given a percentage concentration of a solution, we can determine the actual amount of solute in grams in that solution.
To find the mass of dextrose, we use the formula:
Mass of dextrose (g)
= Volume of solution (L) × Percentage of dextrose (%) × Density of solution (g/L)
Assuming that the density of the solution is approximately 1 g/mL, which is often the case for diluted aqueous solutions like this one, we can use the given volume of 750 mL directly. Then, we apply the percentage concentration of dextrose (5%).
Mass of dextrose
= 750 mL × 0.05 (5%) =
37.5 grams
Therefore, the correct answer is (a) 37.5 grams of dextrose.