Question

Dextrose 25 % 1000 ml was ordered , you have only Dextrose 70 % solution available . How much of the Dextrose 70 % solution will you use to fill this order?

A ) 350 ml Dextrose 70 % .
B ) 357 ml Dextrose 7096 .
C ) 497 ml Dextrose 7096 .
D ) 243 ml Dextrose 70 % .

Answer 1

To prepare 1000 ml of a 25% dextrose solution using a 70% dextrose solution, we calculate the volume of the 70% solution needed to obtain 250 g of dextrose; the answer is 357 ml of the 70% solution.

Step-by-step explanation:

To prepare a dextrose 25% solution from a dextrose 70% solution, we can use the concept of dilution, which involves calculating the amount of a concentrated solution (stock solution) needed to achieve a specific concentration of a more dilute solution. In this case, we want to find the volume of the 70% dextrose solution needed to create 1000 ml of a 25% dextrose solution.

First, let's determine the mass of dextrose in the 25% solution:

• 25% of 1000 ml is 250 g of dextrose (since 25% of 1000 is 250).

Now, we need to calculate the volume of the 70% solution that contains 250 g of dextrose:

• Since 70% of a solution is dextrose, there are 0.7 g of dextrose for every ml of solution.
• Therefore, to get 250 g of dextrose, we need to divide 250 g by 0.7 g/ml:
• Volume = 250 g / (0.7 g/ml) = 357.14 ml of dextrose 70%.

We round off 357.14 to the nearest ml, getting 357 ml as our final answer. Note that the options provided might have rounded the number differently, but the correct mathematical approach will give you 357.14 ml, which is approximately 357 ml.

Therefore, the correct answer is B) 357 ml dextrose 70%.