College

Find the number of gallons of sulfuric acid in 50 gallons of solution in a tank if the percent of sulfuric acid is 50%.

A. 25 gal
B. 6 gal
C. 12 gal
D. 24 gal

Answer :

To find the number of gallons of sulfuric acid in the solution, follow these steps:

1. Understand the Problem: We know that the solution in the tank is 50 gallons and that 50% of it is sulfuric acid. We need to determine how many gallons of this solution is pure sulfuric acid.

2. Use the Percent Formula:
- The formula to find the part when you know the percentage and the whole is:
[tex]\[
\text{Part} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Whole}
\][/tex]

3. Substitute the Values:
- Percentage of sulfuric acid = 50%
- Total volume of the solution = 50 gallons

Replace these values in the formula:
[tex]\[
\text{Sulfuric acid volume} = \left(\frac{50}{100}\right) \times 50
\][/tex]

4. Calculate:
- [tex]\[
\text{Sulfuric acid volume} = 0.5 \times 50 = 25
\][/tex]

5. Conclusion:
- There are 25 gallons of sulfuric acid in the solution.

So, the correct answer is 25 gallons.