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The percentage of lanthanides and iron, ...

The percentage of lanthanides and iron, respectively , in which metal are

A

50 , 50

B

75 , 25

C

90, 10

D

95, 5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the percentage of lanthanides and iron in mish metal, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Mish Metal**: - Mish metal is an alloy primarily composed of rare earth elements, particularly lanthanides, and is also known as cerium mish metal. 2. **Composition of Mish Metal**: - A typical composition of mish metal includes approximately: - 30% Cerium - 25% Lanthanum - Small amounts of Neodymium and Praseodymium - However, for the purpose of this question, we focus on the total percentage of lanthanides. 3. **Calculating Total Lanthanides**: - The total percentage of lanthanides can be approximated as follows: - Cerium (30%) + Lanthanum (25%) = 55% (not considering small amounts of Neodymium and Praseodymium for simplicity). - However, the transcript mentions that the total percentage of lanthanides is approximately 95%. 4. **Calculating Iron Percentage**: - The remaining percentage in mish metal is attributed to iron. - If the total percentage of lanthanides is 95%, then the percentage of iron can be calculated as: - 100% - 95% = 5%. 5. **Final Composition**: - Therefore, the final composition of mish metal is: - Lanthanides: 95% - Iron: 5% 6. **Selecting the Correct Option**: - Based on the calculated percentages, we can now compare with the given options: - Option 1: 50-50 (Incorrect) - Option 2: 75-25 (Incorrect) - Option 3: 90-10 (Incorrect) - Option 4: 95-5 (Correct) ### Conclusion: The percentage of lanthanides and iron in mish metal is **95% lanthanides and 5% iron**.
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