Answer :
To determine the mass percent of carbon in the compound, follow these steps:
1. Given Information:
- Total mass of the sample, [tex]\( \text{total mass} = 1.00 \)[/tex] grams.
- Mass of hydrogen in the sample, [tex]\( \text{mass of hydrogen} = 0.562 \)[/tex] grams.
2. Find the Mass of Carbon:
- The mass of carbon can be found by subtracting the mass of hydrogen from the total mass of the sample.
[tex]\[ \text{mass of carbon} = \text{total mass} - \text{mass of hydrogen} = 1.00 \text{ g} - 0.562 \text{ g} = 0.438 \text{ g} \][/tex]
3. Calculate the Mass Percent of Carbon:
- The mass percent of carbon is calculated using the formula:
[tex]\[ \text{mass percent of carbon} = \left( \frac{\text{mass of carbon}}{\text{total mass}} \right) \times 100 \][/tex]
- Substitute the known values:
[tex]\[ \text{mass percent of carbon} = \left( \frac{0.438 \text{ g}}{1.00 \text{ g}} \right) \times 100 = 43.8\% \][/tex]
Therefore, the correct answer is:
C. 43.8%
1. Given Information:
- Total mass of the sample, [tex]\( \text{total mass} = 1.00 \)[/tex] grams.
- Mass of hydrogen in the sample, [tex]\( \text{mass of hydrogen} = 0.562 \)[/tex] grams.
2. Find the Mass of Carbon:
- The mass of carbon can be found by subtracting the mass of hydrogen from the total mass of the sample.
[tex]\[ \text{mass of carbon} = \text{total mass} - \text{mass of hydrogen} = 1.00 \text{ g} - 0.562 \text{ g} = 0.438 \text{ g} \][/tex]
3. Calculate the Mass Percent of Carbon:
- The mass percent of carbon is calculated using the formula:
[tex]\[ \text{mass percent of carbon} = \left( \frac{\text{mass of carbon}}{\text{total mass}} \right) \times 100 \][/tex]
- Substitute the known values:
[tex]\[ \text{mass percent of carbon} = \left( \frac{0.438 \text{ g}}{1.00 \text{ g}} \right) \times 100 = 43.8\% \][/tex]
Therefore, the correct answer is:
C. 43.8%
