A 150 mg/dl glucose solution was diluted 1:2. Then 0.5ml of it was added to 4.5ml saline 2 ml of this solution was diluted to 10ml. What is the final concentration of glucose?
1L= 10dl
1dl =100mL
Answer 0.015mg/dl
I don't get that.
150 mg/dL diluted 1:2 = 75 mg/dL.
Then 75 mg/dL x (0.5/5.0) x (2/10) = ?
To determine the final concentration of glucose, we need to calculate the amount of glucose present in the final solution after dilution.
Let's step through the calculations:
1. Start with a 150 mg/dL glucose solution.
2. It was diluted 1:2, which means for every 1 part of the original solution, 2 parts of a diluent (such as water) were added.
So, after dilution, we have 1 part glucose solution and 2 parts diluent.
Since we're not given the total volume of the solution after dilution, we'll assume it to be 1 mL for simplicity.
So, we have 0.5 mL of the original glucose solution and 0.5 mL of diluent in the final 1 mL of the diluted solution.
3. Now, we combine 0.5 mL of the diluted glucose solution with 4.5 mL of saline. This gives us a total volume of 5 mL.
Since we've added saline, the glucose concentration remains the same. So, we still have a concentration of 150 mg/dL.
4. Next, we take 2 mL of this second mixture and dilute it to a final volume of 10 mL.
This means we have 2 mL of the 150 mg/dL glucose solution and 8 mL of a diluent (saline in this case).
To find the concentration after this dilution, we need to calculate the total amount of glucose in the final solution.
The total amount of glucose in the 2 mL is (2 mL) * (150 mg/dL) = 300 mg.
And the total volume of the final solution is 10 mL.
To find the concentration, divide the total amount of glucose by the total volume:
Conc. (mg/dL) = Total amount of glucose (mg) / Total volume (mL)
Conc. (mg/dL) = 300 mg / 10 mL = 30 mg/dL.
So, the final concentration of glucose in the solution after all these dilutions is 30 mg/dL.