You Are Working With An 8.5 % 8.5 \% 8.5% Solution.a) How Much Pure Drug Is Needed To Create 41.5 ML Of This Solution? Round Your Answer To The Nearest Hundredth, If Necessary. Be Sure To Pick The Correct Label For Your Answer. □ \square □ - Mcg

Understanding the Problem

When working with solutions, it's essential to understand the concept of concentration and how to calculate the amount of pure drug needed to create a specific solution. In this problem, we're given an $8.5\%$ solution, and we need to determine how much pure drug is required to create $41.5$ mL of this solution.

Defining the Variables

• Concentration: The concentration of the solution is given as $8.5\%$. This means that for every $100$ mL of the solution, there are $8.5$ mL of pure drug.
• Volume of Solution: We need to create $41.5$ mL of the solution.
• Amount of Pure Drug: We want to find out how much pure drug is needed to create $41.5$ mL of the solution.

Calculating the Amount of Pure Drug

To calculate the amount of pure drug needed, we can use the following formula:

$$\text{Amount of Pure Drug} = \text{Concentration} \times \text{Volume of Solution}$$

In this case, the concentration is $8.5\%$, which can be written as a decimal by dividing by $100$:

$$8.5\% = \frac{8.5}{100} = 0.085$$

Now, we can plug in the values:

$$\text{Amount of Pure Drug} = 0.085 \times 41.5$$

Using a calculator, we get:

$$\text{Amount of Pure Drug} = 3.5225$$

Rounding to the nearest hundredth, we get:

$$\text{Amount of Pure Drug} = 3.52$$

Conclusion

To create $41.5$ mL of an $8.5\%$ solution, we need $3.52$ mL of pure drug.

Labeling the Answer

Since the answer is in milliliters (mL), we can label it as follows:

• mcg: This is not the correct label for this answer, as we're dealing with milliliters (mL) of pure drug, not micrograms (mcg).

Therefore, the correct label for our answer is:

• mL

Final Answer

Q: What is the difference between a solution and a mixture?

A: A solution is a homogeneous mixture of two or more substances, where one substance (the solute) is dissolved in another substance (the solvent). A mixture, on the other hand, is a physical combination of two or more substances, where the substances are not chemically combined.

Q: How do I calculate the amount of pure drug needed to create a solution?

A: To calculate the amount of pure drug needed, you can use the following formula:

$$\text{Amount of Pure Drug} = \text{Concentration} \times \text{Volume of Solution}$$

Where the concentration is the percentage of the solution, and the volume of solution is the desired volume of the solution.

Q: What is the concentration of a solution?

A: The concentration of a solution is the amount of solute (pure drug) present in a given volume of the solution. It is usually expressed as a percentage or a decimal.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you can divide the percentage by 100. For example, to convert 8.5% to a decimal, you would divide 8.5 by 100:

$$8.5\% = \frac{8.5}{100} = 0.085$$

Q: What is the difference between a strong solution and a weak solution?

A: A strong solution is a solution that has a high concentration of solute (pure drug), while a weak solution is a solution that has a low concentration of solute.

Q: How do I determine the volume of solution needed?

A: The volume of solution needed is the desired volume of the solution that you want to create. This can be expressed in units such as milliliters (mL) or liters (L).

Q: What is the importance of accurately measuring the volume of solution?

A: Accurately measuring the volume of solution is crucial in creating a solution, as it affects the concentration of the solution and the amount of pure drug needed. Inaccurate measurements can lead to errors in the concentration of the solution, which can have serious consequences in pharmaceutical applications.

Q: Can I use a calculator to calculate the amount of pure drug needed?

A: Yes, you can use a calculator to calculate the amount of pure drug needed. Simply plug in the values for concentration and volume of solution, and the calculator will give you the result.

Q: What is the final answer to the problem of creating 41.5 mL of an 8.5% solution?

A: The final answer is 3.52 mL of pure drug.

Conclusion

Creating a solution requires accurate calculations and measurements. By understanding the concepts of concentration, volume of solution, and pure drug, you can create a solution with the desired properties. Remember to use the correct label for your answer, and to round your answer to the nearest hundredth if necessary.