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In borax number of B-O-B bonds are X and...

In borax number of `B-O-B` bonds are X and number of boron atoms are Y. Then `X+Y` is

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To solve the problem, we need to determine the number of Boron-Oxygen-Boron (B-O-B) bonds (denoted as X) and the number of Boron atoms (denoted as Y) in the structure of borax, which is represented by the formula Na2B4O7·10H2O. ### Step-by-Step Solution: 1. **Identify the Structure of Borax**: - Borax has the chemical formula Na2B4O7·10H2O. - It consists of 4 boron (B) atoms and 7 oxygen (O) atoms. 2. **Count the Number of Boron Atoms (Y)**: - From the formula, we can see that there are 4 boron atoms. - Therefore, \( Y = 4 \). 3. **Identify the B-O-B Bonds**: - In the structure of borax, the boron atoms are connected through oxygen atoms. - Each pair of boron atoms is connected by an oxygen atom, forming B-O-B bonds. - In the case of borax, there are 2 B-O-B linkages formed between the boron atoms. 4. **Count the Number of B-O-B Bonds (X)**: - Since there are 4 boron atoms, we can visualize the connections: - B1 connects to B2 through O1 (1 B-O-B bond) - B2 connects to B3 through O2 (2 B-O-B bonds) - B3 connects to B4 through O3 (3 B-O-B bonds) - Thus, the total number of B-O-B bonds is \( X = 3 \). 5. **Calculate \( X + Y \)**: - Now we can find \( X + Y \): \[ X + Y = 3 + 4 = 7 \] ### Final Answer: The value of \( X + Y \) is **7**.
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