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overset19 8X atom is isotonic to overs...

`overset19 8X` atom is isotonic to `oversety 7Y` atom. The value of y is :

A

18

B

11

C

19

D

17

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the value of \( y \) for the atom \( \overset{y}{7Y} \) that is isotonic to the atom \( \overset{19}{8X} \). Isotonic atoms have the same number of neutrons. ### Step-by-Step Solution: 1. **Identify the Atomic Mass and Atomic Number of Atom X**: - Atom \( X \) has an atomic mass \( A_X = 19 \) and atomic number \( Z_X = 8 \). 2. **Calculate the Number of Neutrons in Atom X**: - The number of neutrons \( N_X \) can be calculated using the formula: \[ N_X = A_X - Z_X \] - Substitute the values: \[ N_X = 19 - 8 = 11 \] 3. **Identify the Atomic Mass and Atomic Number of Atom Y**: - Atom \( Y \) has an atomic mass \( A_Y = y \) and atomic number \( Z_Y = 7 \). 4. **Set Up the Equation for Atom Y**: - Since atoms \( X \) and \( Y \) are isotonic, they have the same number of neutrons: \[ N_Y = N_X \] - The number of neutrons in atom \( Y \) can be calculated as: \[ N_Y = A_Y - Z_Y = y - 7 \] - Therefore, we can set up the equation: \[ y - 7 = 11 \] 5. **Solve for \( y \)**: - Rearranging the equation gives: \[ y = 11 + 7 = 18 \] 6. **Conclusion**: - The value of \( y \) is \( 18 \). ### Final Answer: The value of \( y \) is \( 18 \). ---

To solve the problem, we need to find the value of \( y \) for the atom \( \overset{y}{7Y} \) that is isotonic to the atom \( \overset{19}{8X} \). Isotonic atoms have the same number of neutrons. ### Step-by-Step Solution: 1. **Identify the Atomic Mass and Atomic Number of Atom X**: - Atom \( X \) has an atomic mass \( A_X = 19 \) and atomic number \( Z_X = 8 \). 2. **Calculate the Number of Neutrons in Atom X**: ...
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