Final answer:
The weight percent of each element in the alloy does not match the provided options; Cu is 48.9%, Zn is 50%, and Pb is 1.03%. There may be a mistake in the given options or additional information is required.
Step-by-step explanation:
To calculate the composition in atom percent for an alloy containing copper (Cu), zinc (Zn), and lead (Pb), one must first convert the given masses into moles because atom percent is related to the number of moles of each component. However, since the question prompts for a conversion to weight percent, we will follow this process:
- Find the total mass of the alloy.
- Calculate the weight percent of each element.
The total mass of the alloy is the sum of the masses of copper, zinc, and lead: 99.7 lbm Cu + 102 lbm Zn + 2.1 lbm Pb = 203.8 lbm. Next, we'll calculate the weight percent for each:
- Cu: (99.7 lbm Cu / 203.8 lbm total) * 100 = 48.9%
- Zn: (102 lbm Zn / 203.8 lbm total) * 100 = 50%
- Pb: (2.1 lbm Pb / 203.8 lbm total) * 100 = 1.03%
These percentages do not match any of the provided options (A, B, C, D), so either there is a mistake in the given options or additional information is needed for an accurate assessment.