Consider the following atoms in which X represents the chemical s...

Question

Consider the following atoms in which X represents the chemical symbol of the element: (4.4, 4.5) ¹⁶₈X ¹⁶₉X ¹⁸₁₀X ¹⁷₈X ¹⁸₈Xd. What atoms have the same number of neutrons?

Accepted Answer

Welcome back everyone. The chemical symbol of the element is represented by X in the atoms given below, determine which atoms have an equal number of neutrons. Now, we're going to recall that whenever we have the general form of a chemical symbol for an atom, we have our atom which will say is X in this case, then we have in the left hand exponent a term A where a we recall represents our mass number or atomic mass of our atom recall that it's found by taking our sum of protons to neutrons. Next, we have in our left hand subscript in our chemical symbol, a term called Z where the symbol Z corresponds to our atomic number, which defines the elements identity from our periodic table. And atomic number describes our number of protons and our number of electrons in a neutral atom only. Now, we're going to need to again determine which atoms have an equal number of neutrons. So let's begin with our first atom X 130 With a atomic number of 56. Now we're going to need to determine first number of protons. So given by the atomic number of 56. In the left hand subscript, we would say our Z value is equal to 56. So therefore, we have 56 protons, this is neutral x. So we have 56 electrons and now going to our mass number of 130, as we stated, mass number represented by a, we would say a is equal to 130. So to find our number of proton of number of neutrons, sorry, we would take our number of protons And subtract that from our mass number since they are added to our number of neutrons to get the mass number of 1:30. So again, finding our number of neutrons, we would say would take 1 30 minus our 56 protons. And from that difference, our number of neutrons for our first atom is going to be neutrons. We're going to compare this to the rest of our atoms. Our next atom given is With a mass number of 128 and an atomic number of 54. So our atomic number tells us that Z is equal to 54. And therefore we have 54 protons in this atom and it's neutral as well. So we have, Since we have neutral atom of X, we have 54 electrons Going to our mass number of 128 in the left hand exponent a is equal to 128, which is equal again to our number of protons plus neutrons. And so finding our number of neutrons, we would take our mass number of 128 subtracted from our 54 protons. And from this difference, we'll find that we have a total of 74 neutrons. So, so far, our first two atoms, we can confirm have an equal number of neutrons. Now, let's move on to our third listed Adam Which is X with a mass number of 139 and an atomic number of Based on its atomic number of 57, we would say Z is equal to 57. So therefore, we have 57 protons and for neutral X which we have again, we have 57 electrons going to the mass number of 139 in the left hand exponent a is equal to 139, which is found again from our number of protons plus our number of neutrons. So finding our number of neutrons, we take 139, our mass number subtracted from 57. And from this difference, we'll find our number of neutrons equal to 82 neutrons. So our third atom listed does not have the same number of neutrons we place and not sign. Now, we're going to move on to our third atom Which were given as X with a mass number of and an atomic number of 52, From our atomic number of 52, we'll say that Z is equal to 52. So therefore, we have 52 protons and in neutral X which we have again, we have 52 electrons finding our mass number. In the left hand exponent, we have a equal to 126, equal to our number of protons plus our number of neutrons. So finding our number of neutrons, we have our mass number of 126 subtracted from our protons. And from this difference, we find our number of neutrons equal to four neutrons. So our third atom checks out as having an equal number of neutrons as our first two atoms. Now we move on to our last listed atom which is With a mass number of 130 and an atomic number of 54. So based on the atomic number, Z is equal to 54. So therefore, we have 54 protons and again, this is neutral. So we have 54 electrons. Now going to our mass number of 130 in the left-hand exponent a is equal to 130, equal to our number of protons plus our number of neutrons. So calculating our number of neutrons, we take our mass number of 130 subtracted from our 54 protons. And from this difference, we find our number of neutrons equal to 76 neutrons. And so our last listed Adam does not have the same number of neutrons as our first two elements nor as our fourth element listed. So for our final answer, the atoms that have an equal number of neutrons would be X 130 with an atomic number of 56, X 128 with an atomic number And X 126 with an atomic number of 52. And these three atoms would be our final answers as having an equal number Of Neutrons, all being 74 neutrons. So I hope that this made sense and let us know if you have any questions.

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Consider the following atoms in which X represents the chemical symbol of the element: (4.4, 4.5) ¹⁶₈X ¹⁶₉X ¹⁸₁₀X ¹⁷₈X ¹⁸₈Xd. What atoms have the same number of neutrons?

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