Math Snap

STEP 1

Assumptions1. The atomic number of Nickel (Ni) is28. The atomic number of Cobalt (Co) is273. The atomic number of Iron (Fe) is264. The atomic number of Copper (Cu) is295. The atomic mass number represents the total number of protons and neutrons in an atom6. The atomic number represents the number of protons in an atom

STEP 2

First, we need to find the number of neutrons in ${ }^{59} \mathrm{Ni}$. We can do this by subtracting the atomic number of Nickel from its atomic mass number.
$$Number\, of\, Neutrons = Atomic\, mass\, number - Atomic\, number$$

STEP 3

Now, plug in the given values for the atomic mass number and atomic number of Nickel to calculate the number of neutrons.
$$Number\, of\, Neutrons =59 -28$$

STEP 4

Calculate the number of neutrons in ${ }^{59} \mathrm{Ni}$.
$$Number\, of\, Neutrons =59 -28 =31$$

STEP 5

Now, we need to find the number of neutrons in each of the given options. We can do this by subtracting the atomic number of each element from its atomic mass number.
For option A) ${ }^{57} \mathrm{Co}$, the number of neutrons is$$Number\, of\, Neutrons =57 -27$$

STEP 6

Calculate the number of neutrons in ${ }^{57} \mathrm{Co}$.
$$Number\, of\, Neutrons =57 -27 =30$$

STEP 7

For option B) ${ }^{58} \mathrm{Fe}$, the number of neutrons is$$Number\, of\, Neutrons =58 -26$$

STEP 8

Calculate the number of neutrons in ${ }^{58} \mathrm{Fe}$.
$$Number\, of\, Neutrons =58 -26 =32$$

STEP 9

For option C) ${ }^{58} \mathrm{Ni}$, the number of neutrons is$$Number\, of\, Neutrons =58 -28$$

STEP 10

Calculate the number of neutrons in ${ }^{58} \mathrm{Ni}$.
$$Number\, of\, Neutrons =58 -28 =30$$

STEP 11

For option D) ${ }^{59} \mathrm{Co}$, the number of neutrons is$$Number\, of\, Neutrons =59 -27$$

STEP 12

Calculate the number of neutrons in ${ }^{59} \mathrm{Co}$.
$$Number\, of\, Neutrons =59 -27 =32$$

STEP 13

For option) ${ }^{60} \mathrm{Cu}$, the number of neutrons is$$Number\, of\, Neutrons =60 -29$$

STEP 14

Calculate the number of neutrons in ${ }^{60} \mathrm{Cu}$.
$$Number\, of\, Neutrons =60 -29 =31$$

Now, compare the number of neutrons in each option with the number of neutrons in ${ }^{59} \mathrm{Ni}$.
The atom which has the same number of neutrons as ${ }^{59} \mathrm{Ni}$ is ${ }^{60} \mathrm{Cu}$.
So, the correct answer is) ${ }^{60} \mathrm{Cu}$.