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In C(60) 'x' number of 6 membered rings ...

In `C_(60)` 'x' number of 6 membered rings are present and 'y' number of 5 membered rings are possible then the difference of `x " & " y` is/are

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To solve the problem, we need to determine the number of 6-membered rings (denoted as 'x') and the number of 5-membered rings (denoted as 'y') present in the structure of C60 (Buckminster Fullerene). Then, we will find the difference between these two values. ### Step-by-Step Solution: 1. **Identify the Structure of C60**: - C60, also known as Buckminster Fullerene or Bucky Ball, is a molecular structure made up of carbon atoms arranged in a spherical shape. 2. **Count the Number of 5-Membered Rings**: - In the structure of C60, there are 12 pentagonal (5-membered) rings. Therefore, we can denote this as: \[ y = 12 \] 3. **Count the Number of 6-Membered Rings**: - Additionally, C60 contains 20 hexagonal (6-membered) rings. We can denote this as: \[ x = 20 \] 4. **Calculate the Difference Between x and y**: - We need to find the difference between the number of 6-membered rings and the number of 5-membered rings: \[ \text{Difference} = x - y = 20 - 12 \] 5. **Final Calculation**: - Performing the subtraction gives us: \[ \text{Difference} = 8 \] ### Conclusion: The difference between the number of 6-membered rings (x) and the number of 5-membered rings (y) in C60 is: \[ \text{Difference} = 8 \]
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