Problem 41 - Calculate With Confidence

Question

Indicate how you would prepare each of the following using hydrogen peroxide (solute) and normal saline (solvent). Irrigate foot wound with \(0.24 \mathrm{~L}\) of \(1 / 4\) strength daily.

Step-by-Step Solution

Answer

Mix 0.06 L of hydrogen peroxide with 0.18 L of normal saline.

Step 1: Understand the Strength Ratio

The problem asks for a solution that is \( \frac{1}{4} \) (quarter) strength. This means the mixture should be \( \frac{1}{4} \) part hydrogen peroxide and \( \frac{3}{4} \) parts normal saline.

Step 2: Determine Total Volume Needed

The total volume of the solution required is \( 0.24 \) liters for irrigation.

Step 3: Calculate Volume of Hydrogen Peroxide

Calculate the volume of hydrogen peroxide needed: \( \text{Hydrogen Peroxide Volume} = \frac{1}{4} \times 0.24 \). This gives \( 0.06 \) liters of hydrogen peroxide.

Step 4: Calculate Volume of Normal Saline

Calculate the volume of normal saline needed: \( \text{Saline Volume} = \frac{3}{4} \times 0.24 \). This gives \( 0.18 \) liters of normal saline.

Step 5: Mixing the Solution

Mix \( 0.06 \, \mathrm{L} \) of hydrogen peroxide with \( 0.18 \, \mathrm{L} \) of normal saline to prepare the solution.

Key Concepts

Understanding Hydrogen Peroxide

Hydrogen peroxide is a chemical compound with the formula \( H_2O_2 \). It is a pale blue liquid in its pure form, but it is often a diluted solution for use in various applications.
In everyday situations, hydrogen peroxide is used for cleaning wounds, as it has mild antiseptic properties. When exposed to light, it gradually breaks down into water and oxygen, so it's typically sold in dark bottles to prevent this decomposition.

• Its antiseptic property stems from the creation of oxygen bubbles, which helps to mechanically clean a wound by removing debris.
• Different concentrations, such as 3%, 6%, and up, are available, with 3% being common for domestic use.

It's crucial to mix it correctly with other substances, like normal saline in medical scenarios, to ensure safety and efficacy.

Exploring Normal Saline

Normal saline is a sterile solution made from sodium chloride (salt) and water, typically used in medical settings. It has a salt concentration of 0.9%, making it isotonic to the body's cells.
Normal saline is trusted for use in rinsing wounds and hydrating patients intravenously because it closely matches the body's natural salt concentration, reducing the risk of cellular irritation or damage.

• It is useful for cleaning wounds because it can flush out contaminants without being harsh.
• It provides a basic medium to dilute more potent substances like medications or hydrogen peroxide for safe application.

When mixed with hydrogen peroxide, normal saline also helps to moderate the strength of the solution, making it safer to use for sensitive applications like wound care.

Deciphering Strength Ratios

Strength ratio is a way of expressing the concentrations of components in a mixture. In this particular scenario, we're working with a \( \frac{1}{4} \) strength solution, meaning that one part of the mixture is hydrogen peroxide and three parts are normal saline.
The ratio helps clarify the exact amount of each component needed when creating a custom solution.

• It specifies that for every 1 liter of hydrogen peroxide, 3 liters of saline should be used, maintaining the predefined strength for safe usage.
• This precise measuring ensures that the solution remains mild and non-irritating yet effective at the intended task.

Understanding and calculating these ratios is essential for safe and effective medical preparation, ensuring outcomes align with medical standards and patient safety.

Mastering Volume Calculation

Volume calculation is key to preparing any solution correctly. This involves determining the amount of each component in a mixture to achieve the desired concentration.
In this exercise, you need to prepare a specific volume of a \( \frac{1}{4} \) strength solution.

• The total volume needed for the solution is given as 0.24 liters.
• To find the volume of hydrogen peroxide, multiply 0.24 liters by \( \frac{1}{4} \), resulting in 0.06 liters.
• Similarly, to find the normal saline volume, multiply 0.24 liters by \( \frac{3}{4} \), resulting in 0.18 liters.

Finally, mix these calculated amounts of hydrogen peroxide and normal saline to form the solution. By following these calculations, you can ensure you’ve prepared a mixture that is effective and safe for use.