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cindychen537's Question
Chemistry
Posted 6 months ago

2. A new element with atomic number 116 was discovered in 2000 . In 2012 it was named livermorium, Lv. Although Lv\mathrm{Lv} is radioactive and short-lived, its chemical properties and reactivity should follow periodic trends.
a. Write the electron configuration for the valence electrons of Lv\mathrm{Lv} in the ground state.
b. According to periodic properties, what would be the most likely formula for the product obtained when Lv reacts with H2( g)\mathrm{H}_{2}(\mathrm{~g}) ?
c. The first ionization energy of polonium, Po, is 812 kJ/mol812 \mathrm{~kJ} / \mathrm{mol}. Is the first ionization energy of Lv\mathrm{Lv} expected to be greater than, less than, or equal to that of Po? Justify your answer in terms of Coulomb's law.
d. Shown below is a hypothetical mass spectrum for a sample of Lv\mathrm{Lv} containing 10 atoms.
Using the information in the graph, determine the average atomic mass of Lv\mathrm{Lv} in the sample to four significant figures.
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Answer from Sia
Posted 6 months ago
Sure, let's address each part of the student's question one by one.

 Part a: Electron Configuration for Valence Electrons of Lv
A
Key Concept
Electron Configuration
Explanation
The valence electron configuration for Livermorium (Lv) in the ground state is 7s27p47s^2 7p^4.


 Part b: Most Likely Formula for the Product with H2(g)H_2(g)
B
Key Concept
Periodic Trends and Reactivity
Explanation
Based on periodic trends, Livermorium (Lv) is in the same group as oxygen and sulfur, which form H2OH_2O and H2SH_2S respectively. Therefore, the most likely formula for the product when Lv reacts with H2(g)H_2(g) is H2LvH_2Lv.


 Part c: First Ionization Energy of Lv Compared to Po
C
Key Concept
Coulomb's Law and Ionization Energy
Explanation
According to Coulomb's law, the ionization energy depends on the effective nuclear charge and the distance of the valence electrons from the nucleus. Since Livermorium (Lv) is below Polonium (Po) in the periodic table, it has more electron shells, which increases the distance of the valence electrons from the nucleus and decreases the effective nuclear charge. Therefore, the first ionization energy of Lv is expected to be less than that of Po.


 Part d: Average Atomic Mass of Lv
D
Key Concept
Average Atomic Mass Calculation
Explanation
To calculate the average atomic mass, use the formula: Average Atomic Mass=(Atomic Mass×Number of Atoms)Total Number of Atoms\text{Average Atomic Mass} = \frac{\sum (\text{Atomic Mass} \times \text{Number of Atoms})}{\text{Total Number of Atoms}}. For the given data: (291.0×2)+(292.0×3)+(293.0×5)=582+876+1465=2923(291.0 \times 2) + (292.0 \times 3) + (293.0 \times 5) = 582 + 876 + 1465 = 2923. The total number of atoms is 2+3+5=102 + 3 + 5 = 10. Therefore, the average atomic mass is 292310=292.3\frac{2923}{10} = 292.3 amu.

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