To determine the correct complete nuclear symbol for an element with 7 protons, 8 neutrons, and 10 electrons, we need to analyze the information:
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Element Identification: The atomic number, which is the number of protons, is 7. This corresponds to the element nitrogen (N).
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Mass Number Calculation: The mass number is the sum of protons and neutrons. Here, the mass number is: \[ \text{Mass Number} = \text{Protons} + \text{Neutrons} = 7 + 8 = 15 \]
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Charge Calculation: The element has 7 protons (positive charge) and 10 electrons (negative charge). The overall charge is: \[ \text{Charge} = \text{Protons} - \text{Electrons} = 7 - 10 = -3 \] Therefore, the ion has a charge of 3β.
Now, we can represent the complete nuclear symbol in the standard format, which is: \[ \text{Mass Number} , , \text{Element Symbol} , \text{Charge} \] So in this case, the complete nuclear symbol for the element is: \[ ^{15}_{7}N^{3-} \]
Among the options you provided, the correct representation of this is:
- \( 15 , 7 , N , 3β \)
Thus, the correct answer is: 15 \( _7 \) N \(^{3-}\).