QuestionFind the number of protons and neutrons in the atom of $^{179} \mathrm{Hf}$ . Protons = ?, Neutrons = ?

Studdy Solution

STEP 1

Assumptions1. The atom is ${ }^{179} \mathrm{Hf}$ . The superscript before the element symbol (Hf) is the atomic mass number (A), which is the sum of the number of protons and neutrons in the nucleus.
3. The atomic number (Z) of Hafnium (Hf) is72, which is the number of protons in the nucleus.

STEP 2

To find the number of protons in ${ }^{179} \mathrm{Hf}$ , we look at the atomic number of Hf, which is the number of protons.
$Number\, of\, protons = Atomic\, number\, of\, Hf$

STEP 3

The atomic number of Hf is72, so the number of protons in ${ }^{179} \mathrm{Hf}$ is72.
$Number\, of\, protons =72$

STEP 4

To find the number of neutrons in ${ }^{179} \mathrm{Hf}$ , we subtract the number of protons from the atomic mass number.
$Number\, of\, neutrons = Atomic\, mass\, number - Number\, of\, protons$

STEP 5

Substitute the atomic mass number (179) and the number of protons (72) into the formula to calculate the number of neutrons.
$Number\, of\, neutrons =179 -72$

STEP 6

Calculate the number of neutrons in ${ }^{179} \mathrm{Hf}$ .
$Number\, of\, neutrons =179 -72 =107$ So, the atom of ${ }^{179} \mathrm{Hf}$ has72 protons and107 neutrons.

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