How much dextrose is in 300 ml of a D5W solution
The Correct Answer and Explanation is:
D5W refers to a solution of 5% dextrose in water, which means that for every 100 mL of the solution, there is 5 grams of dextrose.
To calculate the amount of dextrose in 300 mL of D5W:
- First, note that 5% means there are 5 grams of dextrose in every 100 mL of solution.
- The relationship is direct and proportional, so for 300 mL, you can set up the following calculation:
Amount of dextrose=5 grams100 mL×300 mL\text{Amount of dextrose} = \frac{5 \text{ grams}}{100 \text{ mL}} \times 300 \text{ mL}Amount of dextrose=100 mL5 grams×300 mLAmount of dextrose=15 grams\text{Amount of dextrose} = 15 \text{ grams}Amount of dextrose=15 grams
Thus, there are 15 grams of dextrose in 300 mL of a D5W solution.
Explanation:
The percentage concentration in the solution tells you how many grams of the solute (in this case, dextrose) are dissolved in 100 mL of solution. Here, 5% means 5 grams of dextrose per 100 mL. By multiplying this ratio by the volume you’re working with (300 mL), you can easily find how much dextrose is present in that volume.
This approach works because the concentration remains constant across the volume of the solution. Therefore, whether you’re dealing with 100 mL, 300 mL, or any other volume, you simply adjust based on the proportionality factor.
