A student placed 12.5 of glucose () in a 100.- volumetric flask, added enough water to dissolve the glucose by swirling, then carefully added additional water until the calibration mark on the neck of the flask was reached. The flask was then shaken until the solution was uniform. A 50.0- sample of this glucose solution was diluted to 0.500 . How many grams of glucose are in 100. of the final solution?
The units of volume are not clear to me. Please use ml or l as volume units.
To find the number of grams of glucose in 100 mL of the final solution, we will follow these steps:
Step 1: Calculate the concentration of the glucose solution.
Concentration (C₁) = (initial amount of solute) / (volume of solution)
C₁ = 12.5 g / 100 mL
Step 2: Calculate the volume of the diluted solution.
Volume (V₂) = (volume of initial solution) * (final dilution factor)
V₂ = 50 mL * 0.500
Step 3: Calculate the concentration of the diluted solution.
Concentration (C₂) = (amount of solute in diluted solution) / (volume of diluted solution)
However, we do not know the amount of solute (glucose) in the diluted solution yet. Let's calculate that in the next step.
Step 4: Calculate the amount of glucose in the diluted solution.
Amount (A₂) = (initial concentration) * (initial volume)
Since we know the initial concentration (C₁) and the initial volume (V₁), we can calculate the amount of glucose in the diluted solution.
A₂ = C₁ * V₁
Step 5: Calculate the concentration of the diluted solution (C₂).
C₂ = A₂ / V₂
Now, we have the concentration of the diluted solution. The final step is to calculate the number of grams of glucose in 100 mL of the final solution.
Step 6: Calculate the amount of glucose in 100 mL of the final solution.
Amount (A₃) = (final concentration) * (final volume)
The final volume is 100 mL, and the final concentration is C₂. So,
A₃ = C₂ * 100 mL
Now, let's plug in the values and calculate the answer.