How many ounces of 32 index fluid are required to create 2 gallons of a 2% solution?

To determine how many ounces of 32 index fluid are needed to create 2 gallons of a 2% solution, it is essential to understand the relationship between the concentration of the solution and the volume of fluid required.

First, we need to convert the gallons to ounces since the final answer should be in ounces. One gallon is equal to 128 ounces. Therefore, 2 gallons is:

2 gallons × 128 ounces/gallon = 256 ounces.

Next, we want to create a 2% solution. This means that 2% of the total solution volume should be made up of the 32 index fluid. To find out how many ounces of the 32 index fluid are required, we can multiply the total volume of the solution by the desired percentage (expressed as a decimal):

2% of 256 ounces = 0.02 × 256 ounces = 5.12 ounces.

However, this calculation reflects the volume of pure substance needed. Since we’re working with a 32 index fluid, we need to determine what volume of that fluid contains the desired volume of the active ingredient.

Since the concentration of the fluid is 32 index, which is often understood as there being 32 ounces of active ingredient in some