Worked example: using the mass number equation

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ScienceHigh school chemistry2:012 check-ins

About this video

This worked example practices the mass number equation (mass number = protons + neutrons), rearranged to find neutrons = mass number - protons. It finds 12 neutrons in sodium-23 and, using the periodic table to get platinum's atomic number of 78, 117 neutrons in Pt-195.

You'll be able to

  • rearrange the mass number equation to find the number of neutrons.
  • read the mass number and atomic number from isotope notation.
  • use the periodic table to find the atomic number when only the symbol and mass number are given.

Key words

mass number
The number of protons plus the number of neutrons in an atom.
atomic number
The number of protons in an atom, found on the periodic table.
mass number equation
Mass number = number of protons + number of neutrons.
Transcript

- [Instructor] Hi, everyone. In this video we're going to practice using the mass number equation. This equation represents the fact that the mass number of an atom is equal to its number of protons plus its number of neutrons. Let's use the mass number equation to answer the following question.

How many neutrons are in an isotope of sodium with the following notation? To answer this question, we'll first need to rearrange our mass number equation to solve for the number of neutrons. Pause the video and take a moment to try this for yourself. The rearranged equation is as follows.

The number of neutrons equals the mass number minus the number of protons. Based on this notation, we know that this sodium isotope has a mass number of 23 and an atomic number of 11. If we subtract the atomic number 11 from the mass number 23, we're left with 12, which is the number of neutrons in this sodium isotope.

Okay, more practice, this time with an isotope of platinum. How many neutrons does this isotope have based on the following notation, Pt-195? Again, we'll need to use the rearranged mass number equation to solve for the number of neutrons. This particular notation provides the chemical symbol of platinum and its mass number.

We can look up platinum on the periodic table to find its atomic number, which is 78, meaning that every platinum atom has 78 protons. We can subtract the atomic number 78 from the mass number 195 to get 117, so this isotope of platinum has 117 neutrons.

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