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87x+2 , the difference between electrons and neutronsnumber is 13. What is the atomic number of x?

Question

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Solution

The atomic number of an element is equal to the number of protons in its nucleus. The number of protons is also equal to the number of electrons in a neutral atom.

Given that the difference between the number of electrons and neutrons is 13, we can set up the following equation:

Number of electrons - Number of neutrons = 13

We also know that the number of electrons is equal to the atomic number, which is represented by 'x' in the equation 87x + 2.

Therefore, we can substitute 'x' for the number of electrons in our equation:

x - Number of neutrons = 13

We can rearrange this equation to find the number of neutrons:

Number of neutrons = x - 13

Substituting this back into the equation 87x + 2, we get:

87x + 2 = 87(x - 13) + 2

Solving for 'x', we get:

x = 15

Therefore, the atomic number of the element is 15.

This problem has been solved

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