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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 determine the mass number of the beryllium atom in the nuclear reaction \( \text{Be}_4^x + \text{He}_2^4 \rightarrow \text{C}_6^{12} + n_0^1 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Components of the Reaction:** - The left-hand side (LHS) of the reaction consists of beryllium (Be) and helium (He). - The right-hand side (RHS) consists of carbon (C) and a neutron (n). 2. **Write Down the Known Values:** - For beryllium (Be): Atomic number = 4 (denoted as Z), Mass number = x (denoted as A). - For helium (He): Atomic number = 2, Mass number = 4. - For carbon (C): Atomic number = 6, Mass number = 12. - For neutron (n): Atomic number = 0, Mass number = 1. 3. **Set Up the Equation for Mass Numbers:** - The total mass number on the LHS must equal the total mass number on the RHS. - LHS: \( x + 4 \) (mass number of Be + mass number of He) - RHS: \( 12 + 1 \) (mass number of C + mass number of neutron) 4. **Write the Equation:** \[ x + 4 = 12 + 1 \] 5. **Simplify the Equation:** \[ x + 4 = 13 \] 6. **Solve for x:** \[ x = 13 - 4 \] \[ x = 9 \] 7. **Conclusion:** - The mass number of the beryllium atom (Be) is 9. ### Final Answer: The mass number of the beryllium atom is **9**.
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