What is the volume of water used when preparing a 2% arterial solution with 7 ounces of fluid?

To determine the volume of water used when preparing a 2% arterial solution with 7 ounces of fluid, it's essential to understand the relationship between the percentage concentration and the total volume of the solution. A 2% solution means that there are 2 parts of solute (in this case, the arterial fluid) for every 100 parts of the solution.

When calculating the total volume of a 2% solution, you can set up the equation:

[ \text{Concentration} = \frac{\text{Amount of solute}}{\text{Total volume}} ]

In this example, 2% is equal to ( \frac{2}{100} ). If 7 ounces of arterial fluid represents the solute, this can be expressed as:

[ 2 = \frac{7}{\text{Total volume}} \times 100 ]

By rearranging the equation, you can find the total volume:

[ \text{Total volume} = \frac{7 \times 100}{2} = 350 \text{ ounces} ]

Next, to find out how much of that total volume is water, you need to deduct the volume of arterial fluid from the total volume. Since we have