Question

fill in the information missing from this table.

nuclide	protons	neutrons	z	a
	39	50
$_{90}^{232}\text{th}$

Explanation:

Step1: Recall definitions (Z=protons, A=protons+neutrons, nuclide symbol: element with Z, A)

For a nuclide, \( Z \) (atomic number) = number of protons. \( A \) (mass number) = number of protons + number of neutrons. The nuclide symbol is \( _Z^A X \), where \( X \) is the element with atomic number \( Z \).

Row 1: \( Z = 66 \), \( A = 164 \)

• Protons = \( Z = 66 \)
• Neutrons = \( A - Z = 164 - 66 = 98 \)
• Element with \( Z = 66 \) is Dysprosium (Dy), so nuclide: \( _{66}^{164}\text{Dy} \)

Row 2: Protons = 39, Neutrons = 50

• \( Z = \) protons = 39 (Element: Yttrium, Y)
• \( A = \) protons + neutrons = \( 39 + 50 = 89 \)
• Nuclide: \( _{39}^{89}\text{Y} \)

Row 3: \( _{90}^{232}\text{Th} \)

• Protons = \( Z = 90 \)
• Neutrons = \( A - Z = 232 - 90 = 142 \)
• \( Z = 90 \), \( A = 232 \)

Filled Table (Row-wise):

nuclide	protons	neutrons	\( Z \)	\( A \)
\( _{39}^{89}\text{Y} \)	39	50	39	89
\( _{90}^{232}\text{Th} \)	90	142	90	232

(Note: If you need individual cell answers:
Row 1: nuclide \( _{66}^{164}\text{Dy} \), protons 66, neutrons 98;
Row 2: nuclide \( _{39}^{89}\text{Y} \), \( Z = 39 \), \( A = 89 \);
Row 3: protons 90, neutrons 142, \( Z = 90 \), \( A = 232 \))

Answer:

Step1: Recall definitions (Z=protons, A=protons+neutrons, nuclide symbol: element with Z, A)

For a nuclide, \( Z \) (atomic number) = number of protons. \( A \) (mass number) = number of protons + number of neutrons. The nuclide symbol is \( _Z^A X \), where \( X \) is the element with atomic number \( Z \).

Row 1: \( Z = 66 \), \( A = 164 \)

• Protons = \( Z = 66 \)
• Neutrons = \( A - Z = 164 - 66 = 98 \)
• Element with \( Z = 66 \) is Dysprosium (Dy), so nuclide: \( _{66}^{164}\text{Dy} \)

Row 2: Protons = 39, Neutrons = 50

• \( Z = \) protons = 39 (Element: Yttrium, Y)
• \( A = \) protons + neutrons = \( 39 + 50 = 89 \)
• Nuclide: \( _{39}^{89}\text{Y} \)

Row 3: \( _{90}^{232}\text{Th} \)

• Protons = \( Z = 90 \)
• Neutrons = \( A - Z = 232 - 90 = 142 \)
• \( Z = 90 \), \( A = 232 \)

Filled Table (Row-wise):

nuclide	protons	neutrons	\( Z \)	\( A \)
\( _{39}^{89}\text{Y} \)	39	50	39	89
\( _{90}^{232}\text{Th} \)	90	142	90	232

(Note: If you need individual cell answers:
Row 1: nuclide \( _{66}^{164}\text{Dy} \), protons 66, neutrons 98;
Row 2: nuclide \( _{39}^{89}\text{Y} \), \( Z = 39 \), \( A = 89 \);
Row 3: protons 90, neutrons 142, \( Z = 90 \), \( A = 232 \))