Let's solve the problem step-by-step to determine the percent hydrogen in the compound.
1. Identify the given data:
- Mass of Carbon (C) in the compound: [tex]\( 15.0 \)[/tex] grams
- Mass of Hydrogen (H) in the compound: [tex]\( 5.0 \)[/tex] grams
- Total mass of the compound: [tex]\( 20.0 \)[/tex] grams
2. Understand what needs to be calculated:
- We need to find the percent of hydrogen in the compound.
3. Use the formula for percent composition:
The percent of hydrogen in the compound can be calculated using the formula:
[tex]\[
\text{Percent H} = \left( \frac{\text{Mass of H}}{\text{Total Mass}} \right) \times 100
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Percent H} = \left( \frac{5.0 \text{ g}}{20.0 \text{ g}} \right) \times 100
\][/tex]
5. Perform the division:
[tex]\[
\frac{5.0 \text{ g}}{20.0 \text{ g}} = 0.25
\][/tex]
6. Multiply by 100 to convert to a percentage:
[tex]\[
0.25 \times 100 = 25
\][/tex]
So, the percent of hydrogen in the compound is [tex]\( 25\% \)[/tex].
Among the given options, the correct answer is:
[tex]\( \boxed{25\%} \)[/tex]
