IDNLearn.com provides a seamless experience for finding the answers you need. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.
Sagot :
To determine which statement about crystal lattice energy is best supported by the information in the table, let's analyze the given lattice energies in relation to cation size:
### Given Lattice Energies:
- LiF: -1036 kJ/mol
- LiCl: -853 kJ/mol
- NaF: -923 kJ/mol
- KF: -821 kJ/mol
- NaCl: -786 kJ/mol
### Analysis of Relationships:
1. LiF vs. KF:
- Cations: Li[tex]\(^+\)[/tex] vs. K[tex]\(^+\)[/tex]
- Lattice Energies: LiF (-1036 kJ/mol) vs. KF (-821 kJ/mol)
- Observation: Li[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex], and LiF has a more negative (higher) lattice energy than KF.
2. LiF vs. LiCl:
- Anions: F[tex]\(^-\)[/tex] vs. Cl[tex]\(^-\)[/tex]
- Cations: Li[tex]\(^+\)[/tex]
- Lattice Energies: LiF (-1036 kJ/mol) vs. LiCl (-853 kJ/mol)
- Observation: Since F[tex]\(^-\)[/tex] is smaller than Cl[tex]\(^-\)[/tex], comparing these does not directly relate to cation size changes.
3. NaCl vs. NaF:
- Anions: Cl[tex]\(^-\)[/tex] vs. F[tex]\(^-\)[/tex]
- Cations: Na[tex]\(^+\)[/tex]
- Lattice Energies: NaCl (-786 kJ/mol) vs. NaF (-923 kJ/mol)
- Observation: Since F[tex]\(^-\)[/tex] is smaller than Cl[tex]\(^-\)[/tex], comparing these does not directly relate to cation size changes.
4. NaF vs. KF:
- Cations: Na[tex]\(^+\)[/tex] vs. K[tex]\(^+\)[/tex]
- Anions: F[tex]\(^-\)[/tex]
- Lattice Energies: NaF (-923 kJ/mol) vs. KF (-821 kJ/mol)
- Observation: Na[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex], and NaF has a more negative (higher) lattice energy than KF.
### Conclusion:
From the comparisons:
- LiF vs. KF:
- Li[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex].
- LiF with Li[tex]\(^+\)[/tex] has a higher lattice energy (-1036 kJ/mol) than KF with K[tex]\(^+\)[/tex] (-821 kJ/mol).
- NaF vs. KF:
- Na[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex].
- NaF with Na[tex]\(^+\)[/tex] has a higher lattice energy (-923 kJ/mol) than KF with K[tex]\(^+\)[/tex] (-821 kJ/mol).
Both sets of comparisons clearly support the statement: "The lattice energy increases as cations get smaller."
Thus, the statement best supported by the data is:
"The lattice energy increases as cations get smaller, as shown by LiF and KF."
### Given Lattice Energies:
- LiF: -1036 kJ/mol
- LiCl: -853 kJ/mol
- NaF: -923 kJ/mol
- KF: -821 kJ/mol
- NaCl: -786 kJ/mol
### Analysis of Relationships:
1. LiF vs. KF:
- Cations: Li[tex]\(^+\)[/tex] vs. K[tex]\(^+\)[/tex]
- Lattice Energies: LiF (-1036 kJ/mol) vs. KF (-821 kJ/mol)
- Observation: Li[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex], and LiF has a more negative (higher) lattice energy than KF.
2. LiF vs. LiCl:
- Anions: F[tex]\(^-\)[/tex] vs. Cl[tex]\(^-\)[/tex]
- Cations: Li[tex]\(^+\)[/tex]
- Lattice Energies: LiF (-1036 kJ/mol) vs. LiCl (-853 kJ/mol)
- Observation: Since F[tex]\(^-\)[/tex] is smaller than Cl[tex]\(^-\)[/tex], comparing these does not directly relate to cation size changes.
3. NaCl vs. NaF:
- Anions: Cl[tex]\(^-\)[/tex] vs. F[tex]\(^-\)[/tex]
- Cations: Na[tex]\(^+\)[/tex]
- Lattice Energies: NaCl (-786 kJ/mol) vs. NaF (-923 kJ/mol)
- Observation: Since F[tex]\(^-\)[/tex] is smaller than Cl[tex]\(^-\)[/tex], comparing these does not directly relate to cation size changes.
4. NaF vs. KF:
- Cations: Na[tex]\(^+\)[/tex] vs. K[tex]\(^+\)[/tex]
- Anions: F[tex]\(^-\)[/tex]
- Lattice Energies: NaF (-923 kJ/mol) vs. KF (-821 kJ/mol)
- Observation: Na[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex], and NaF has a more negative (higher) lattice energy than KF.
### Conclusion:
From the comparisons:
- LiF vs. KF:
- Li[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex].
- LiF with Li[tex]\(^+\)[/tex] has a higher lattice energy (-1036 kJ/mol) than KF with K[tex]\(^+\)[/tex] (-821 kJ/mol).
- NaF vs. KF:
- Na[tex]\(^+\)[/tex] is smaller than K[tex]\(^+\)[/tex].
- NaF with Na[tex]\(^+\)[/tex] has a higher lattice energy (-923 kJ/mol) than KF with K[tex]\(^+\)[/tex] (-821 kJ/mol).
Both sets of comparisons clearly support the statement: "The lattice energy increases as cations get smaller."
Thus, the statement best supported by the data is:
"The lattice energy increases as cations get smaller, as shown by LiF and KF."
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.