which pair of atoms represent nuclei that have the same number of neutrons?
a Co36 and Co 58
b. Mn57 and Fe 57
c. Ni 58 and Fe 57
d. Ni 58 and Co 57
e. Ni 59 and Fe 56
#protons + #neutrons = mass number.
Example:
Fe56 is
protons = 26
mass number = 56
26 + ? = 56
? = number neutrons = 56-26 = 30
To determine which pair of atoms represents nuclei that have the same number of neutrons, you need to compare the atomic number and mass number of each atom.
The atomic number represents the number of protons in the nucleus, while the mass number represents the sum of protons and neutrons.
Let's analyze each pair of atoms:
a. Co36 and Co58:
Co36 has an atomic number of 27 and a mass number of 36 (27 protons + 9 neutrons).
Co58 has an atomic number of 27 and a mass number of 58 (27 protons + 31 neutrons).
Since the number of neutrons is different, this pair does not have the same number of neutrons.
b. Mn57 and Fe57:
Mn57 has an atomic number of 25 and a mass number of 57 (25 protons + 32 neutrons).
Fe57 has an atomic number of 26 and a mass number of 57 (26 protons + 31 neutrons).
Although the atomic number is different, the mass numbers are the same. Therefore, this pair has the same number of neutrons.
c. Ni58 and Fe57:
Ni58 has an atomic number of 28 and a mass number of 58 (28 protons + 30 neutrons).
Fe57 has an atomic number of 26 and a mass number of 57 (26 protons + 31 neutrons).
Since the number of neutrons is different, this pair does not have the same number of neutrons.
d. Ni58 and Co57:
Ni58 has an atomic number of 28 and a mass number of 58 (28 protons + 30 neutrons).
Co57 has an atomic number of 27 and a mass number of 57 (27 protons + 30 neutrons).
Although the atomic number is different, the mass numbers are the same. Therefore, this pair has the same number of neutrons.
e. Ni59 and Fe56:
Ni59 has an atomic number of 28 and a mass number of 59 (28 protons + 31 neutrons).
Fe56 has an atomic number of 26 and a mass number of 56 (26 protons + 30 neutrons).
Since both the atomic number and mass number are different, this pair does not have the same number of neutrons.
After analyzing all the pairs, the pair that represents nuclei with the same number of neutrons is:
d. Ni58 and Co57