an alloy contains14 parts of tin and 100 parts of copper. what is the percentage of tin in the alloy ?
Hereβs a clear, complete, and friendly explanation of this chemistry question with a professional yet easily understandable tone.
Quick Scoop
π§© Problem
An alloy contains 14 parts of tin and 100 parts of copper.
We need to find the percentage of tin in the alloy.
π Step-by-Step Solution
- Identify the total parts of the alloy:
Total parts=14+100=114\text{Total parts}=14+100=114Total parts=14+100=114
- Find the fraction of tin:
Fraction of tin=14114\text{Fraction of tin}=\frac{14}{114}Fraction of tin=11414β
- Convert the fraction to a percentage:
Percentage of tin=(14114)Γ100\text{Percentage of tin}=\left(\frac{14}{114}\right)\times 100Percentage of tin=(11414β)Γ100
- Perform the calculation:
Percentage of tin=12.28%\text{Percentage of tin}=12.28%Percentage of tin=12.28%
β Final Answer
The percentage of tin in the alloy is approximately 12.28%.
π Example Explanation
Think of the alloy as a mixing recipe β for every 100 grams of copper, you
add 14 grams of tin.
Out of the total 114 grams, tin forms roughly 12.28% of the mix β that's
its proportion in the blend.
π HTML Table Representation
| Component | Parts | Percentage |
|---|---|---|
| Tin | 14 | 12.28% |
| Copper | 100 | 87.72% |
| Total | 114 | 100% |