Chemical Analysis: Concentration Calculations

What is the concentration of a solution containing 40.0 mg of glucose in 100.0 mL, assuming the density of the solution is 1.00 g/mL? The concentration of glucose in the solution is 400 ppm by mass. The correct answer is d) 400.0.

Calculation of Concentration:

To find the concentration of glucose in ppm (parts per million) by mass, we need to use the given information:

Volume of the solution: 100.0 mL

Mass of glucose: 40.0 mg

Density of the solution: 1.00 g/mL

Steps to Calculate:

1. Convert volume to mass using density:

Mass of solution = Volume x Density = 100.0 mL x 1.00 g/mL = 100.0 g

2. Convert mass of glucose to grams:

Mass of glucose = 40.0 mg × (1 g / 1000 mg) = 0.04 g

3. Calculate concentration in ppm by mass:

Concentration (ppm) = (Mass of glucose / Mass of solution) × 1,000,000

Concentration (ppm) = (0.04 g / 100.0 g) × 1,000,000 = 400 ppm

Therefore, the concentration of glucose in the solution is 400 ppm by mass, indicating a relatively high amount of glucose in the solution.

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