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Chapter 2

Q. 2.1

ⓐ An isotope of cobalt (Co, Z = 27) is used in radiation therapy for cancer. This isotope has 33 neutrons in its nucleus. What is its nuclear symbol?

ⓑ One of the most harmful components of nuclear waste is a radioactive isotope of strontium, _{38}^{90}Sr; it can be deposited in your bones, where it replaces calcium. How many protons are in the nucleus of Sr-90? How many neutrons?
ⓒ Write the nuclear symbol for the element used in diagnostic bone scans. It has 31 protons and 38 neutrons.

ANALYLSIS
Z (27); number of neutrons, n (33) Information given:
nuclear symbol Asked for:

STRATEGY

1. Note that Z stands for the atomic number or the number of protons p^{+}.

2. Recall that a nuclear symbol is written _{Z^A}X where A stands for the number of neutrons (n) plus protons (p^{+}).

ANALYLSIS
nuclear symbol: _{38}^{90}Sr Information given:
p^{+}; n Asked for:

ANALYLSIS
p^{+} = 31; n = 38 Information given
identity of the element Information implied:
nuclear symbol Asked for:

Step-by-Step

Verified Solution

nuclear symbol        Z = p^{+} = 27; A = p^{+} + n = 27 + 33; _{Z}^{A}Co = _{27}^{60}Co

protons Z = p^{+} = 38
neutrons A = p^{+} + n = 90; 90 = 38 + n; n = 90 – 38 = 52

nuclear symbol Z = p^{+} = 31 (placed on bottom left of element)
A = p^{+} + n = 31 + 38 = 69
The element (X) is gallium identified by its atomic number Z.
nuclear symbol: _{Z}^{A }X = _{31}^{69}Ga