The label of a 10 g vial states the you are to add 176 mL to get a concentration of 500 mg/mL. What is the powder volume?
To determine the powder volume, we need to find the actual amount of powder present in the vial.
Given information:
- The vial contains 10 g of powder.
- The concentration is 500 mg/mL.
- To achieve this concentration, a total volume of 176 mL needs to be added.
To find the powder volume, we can start by converting the concentration to grams per milliliter. Since 1 g is equal to 1000 mg, the concentration of 500 mg/mL is equivalent to 0.5 g/mL.
To calculate the total amount of powder in grams, we multiply the concentration (0.5 g/mL) by the total volume (176 mL):
Total amount of powder = Concentration × Total volume
= 0.5 g/mL × 176 mL
= 88 g
Therefore, the powder volume in the 10 g vial is 10 g - 88 g = -78 g.
However, it is important to note that this result is not physically possible. The negative value indicates that the given information may contain an error, or there may be a discrepancy in the provided data. Therefore, further clarification or verification may be necessary to obtain an accurate answer.