In a 70% solution of Dextrose, how many kilograms of Dextrose are in 400 mL of a 1000 mL solution?

To determine how many kilograms of Dextrose are in 400 mL of a 70% solution, it’s essential to first understand what a 70% solution signifies. A 70% solution indicates that there are 70 grams of Dextrose for every 100 mL of the solution.

To find out how much Dextrose is in 400 mL, we can set up a proportion based on the known concentration. Since the concentration is 70 grams per 100 mL, we can use this ratio to calculate the amount in 400 mL:

1. Calculate the grams of Dextrose in 400 mL:

[

\text{Grams of Dextrose} = \left( \frac{70 \text{ grams}}{100 \text{ mL}} \right) \times 400 \text{ mL}

]

Performing the multiplication:

[

\text{Grams of Dextrose} = \left( 70 \times 4 \right) = 280 \text{ grams}

]

2. Convert grams to kilograms:

Since 1 kilogram equals 1000 grams, we convert 280 grams to