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Mass number for chromium-53

What is the mass number for chromium-53, and how is it related to the numbers of protons and neutrons in the isotope?

Subject: General Chemistry Chapter: Atoms Topic: Atomic Mass Answer included
what is the mass number for chromium-53 mass number chromium-53 isotope notation nucleons atomic number protons and neutrons nuclide symbol
Accepted answer Answer included

Answer to: what is the mass number for chromium-53

The mass number for chromium-53 is 53. In isotope naming, “chromium-53” already states the mass number: it is the total count of nucleons (protons + neutrons) in the nucleus.

Definition

The mass number \(A\) is the total number of nucleons: \[ A = Z + N \] where \(Z\) is the atomic number (protons) and \(N\) is the neutron number (neutrons).

Step-by-step interpretation for chromium-53

  1. Identify the isotope label: “chromium-53” means \(A = 53\).
  2. Use the element identity: chromium has atomic number \(Z = 24\) (24 protons).
  3. Compute the neutron number: \[ N = A - Z = 53 - 24 = 29 \] so the chromium-53 nucleus contains 29 neutrons.

Nuclide symbol (isotope notation)

The nuclide symbol places the mass number as a left superscript and the atomic number as a left subscript:

\[ {}^{53}_{24}\mathrm{Cr} \]

The mass number \(A=53\) indicates nucleons, not the average atomic mass found on the periodic table.

Common quantities compared

Quantity Symbol Meaning for chromium-53
Atomic number \(Z\) 24 protons (defines chromium)
Mass number \(A\) 53 nucleons total (given by “chromium-53”)
Neutron number \(N\) \(53 - 24 = 29\) neutrons
Average atomic mass A weighted average over naturally occurring isotopes (not equal to \(A\) in general)

Visualization: reading isotope notation for chromium-53

Isotope notation for chromium-53 showing mass number, atomic number, and neutron count A diagram labels the nuclide symbol with A and Z and shows that neutrons equal A minus Z for chromium-53. Cr 53 24 mass number A atomic number Z For chromium-53: A = 53 (nucleons) Z = 24 (protons) N = A − Z = 53 − 24 = 29 (neutrons) nucleus 24 p, 29 n “Chromium-53” names the isotope by its mass number: A = 53.
The superscript gives the mass number \(A\), the subscript gives the atomic number \(Z\), and the neutron number follows from \(N = A - Z\).

Final result

The mass number for chromium-53 is 53; the isotope has 24 protons and 29 neutrons.

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