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According to the nuclear reaction Be4^x ...

According to the nuclear reaction `Be_4^x + He_2^4 to C_6^12 +n_0^1`, mass number of (Be) atom is

A

4

B

9

C

7

D

6

Text Solution

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The correct Answer is:
To find the mass number of the beryllium atom in the given nuclear reaction \( \text{Be}_4^x + \text{He}_2^4 \rightarrow \text{C}_6^{12} + n_0^1 \), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the Components of the Reaction:** - We have beryllium (\( \text{Be} \)), helium (\( \text{He} \)), carbon (\( \text{C} \)), and a neutron (\( n \)). - The given reaction can be summarized as: \[ \text{Be}_4^x + \text{He}_2^4 \rightarrow \text{C}_6^{12} + n_0^1 \] 2. **Write Down the Mass Numbers:** - The mass number of beryllium is \( x \). - The mass number of helium is \( 4 \). - The mass number of carbon is \( 12 \). - The mass number of the neutron is \( 1 \). 3. **Apply the Conservation of Mass Number:** - According to the law of conservation of mass number, the total mass number on the reactant side must equal the total mass number on the product side. - Therefore, we can set up the equation: \[ x + 4 = 12 + 1 \] 4. **Simplify the Equation:** - Calculate the right side: \[ x + 4 = 13 \] 5. **Solve for \( x \):** - Rearranging the equation gives: \[ x = 13 - 4 \] \[ x = 9 \] 6. **Conclusion:** - The mass number of the beryllium atom is \( 9 \). ### Final Answer: The mass number of the beryllium atom is \( 9 \).
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