Questions: 5. The maximum number of electrons in a) n=3 18 b) 4 d 10 c) One orbital by the name of 3 p Q d) Shell 4 e) Subshell g 6. Write an chemical equation that goes with... a) heat of combustion of Mg . b) heat of formation of PBr3(s) c) First ionization energy of Na .

5. The maximum number of electrons in
a) n=3  18
b) 4 d  10
c) One orbital by the name of 3 p Q
d) Shell 4
e) Subshell g
6. Write an chemical equation that goes with...
a) heat of combustion of Mg .
b) heat of formation of PBr3(s)
c) First ionization energy of Na .
Transcript text: 5. The maximum number of electrons in a) $n=3 \quad 18$ b) $4 \mathrm{~d} \quad 10$ c) One orbital by the name of $3 p$ Q d) Shell 4 e) Subshell g 6. Write an chemical equation that goes with... a) heat of combustion of Mg . b) heat of formation of $\mathrm{PBr}_{3}(\mathrm{~s})$ c) First ionization energy of Na .
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Solution

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Solution Steps

Step 1: Determine the maximum number of electrons for each given quantum number or subshell

To find the maximum number of electrons, we use the following rules:

  • For a given principal quantum number \( n \), the maximum number of electrons is \( 2n^2 \).
  • For a given subshell (s, p, d, f, g), the maximum number of electrons is determined by the formula \( 2(2l + 1) \), where \( l \) is the azimuthal quantum number.
Step 2: Calculate the maximum number of electrons for each part

a) For \( n = 3 \): \[ \text{Maximum number of electrons} = 2n^2 = 2(3^2) = 18 \] \(\boxed{18}\)

b) For the \( 4d \) subshell: \[ \text{Maximum number of electrons} = 2(2l + 1) = 2(2 \cdot 2 + 1) = 2(5) = 10 \] \(\boxed{10}\)

c) For one orbital in the \( 3p \) subshell: \[ \text{Maximum number of electrons in one orbital} = 2 \] \(\boxed{2}\)

Step 3: Calculate the maximum number of electrons for shell 4 and subshell g

d) For shell 4 (\( n = 4 \)): \[ \text{Maximum number of electrons} = 2n^2 = 2(4^2) = 32 \] \(\boxed{32}\)

e) For the \( g \) subshell (\( l = 4 \)): \[ \text{Maximum number of electrons} = 2(2l + 1) = 2(2 \cdot 4 + 1) = 2(9) = 18 \] \(\boxed{18}\)

Final Answer

a) \(\boxed{18}\)

b) \(\boxed{10}\)

c) \(\boxed{2}\)

d) \(\boxed{32}\)

e) \(\boxed{18}\)

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