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Question
date:
prepwork part 1: melting point oer practice
- which of the following compounds will have the highest melting point?
(a) srs (b) bas (c) bes (d) mgs
- briefly explain your response to q1:
- if a student chose answer choice (a) instead, what mistake did s/he make? how can s/he avoid this
in the future?
- which of the following compounds will have the highest melting point?
(a) na₂p (b) nacl (c) gacl₃ (d) mg₃n₂
- briefly explain your response to q4:
- if a student chose answer choice (b) instead, what mistake did s/he make? how can s/he avoid this
in the future?
Question 1
Step1: Identify Compound Type
All compounds (SrS, BaS, BeS, MgS) are ionic compounds. Ionic melting point depends on lattice energy: \( E = \frac{kQ_1Q_2}{r} \), where \( Q \) is ion charge, \( r \) is ion radius.
Step2: Analyze Ion Charges and Radii
All have \( S^{2-} \), cations: \( Be^{2+}, Mg^{2+}, Sr^{2+}, Ba^{2+} \) (all \( +2 \) charge). Ionic radius: \( Be^{2+} < Mg^{2+} < Sr^{2+} < Ba^{2+} \) (smaller radius → smaller \( r \) in lattice energy formula).
Step3: Relate to Lattice Energy
Smaller \( r \) (ion radius) → larger lattice energy (since \( r \) is in denominator). Larger lattice energy → higher melting point. \( Be^{2+} \) has smallest radius, so BeS has highest lattice energy.
All are ionic compounds with \( S^{2-} \) and \( +2 \) cations. Melting point depends on lattice energy (\( E \propto \frac{Q_1Q_2}{r} \)). Cation charges are equal, so compare ionic radii: \( Be^{2+} < Mg^{2+} < Sr^{2+} < Ba^{2+} \). Smaller \( r \) (Be²⁺) gives larger \( E \), so BeS has highest melting point.
The student likely ignored ion radius effect. Sr²⁺ has a larger radius than Be²⁺, Mg²⁺. Lattice energy for SrS is smaller than BeS (and MgS) because \( r \) (Sr²⁺) is larger. To avoid, recall lattice energy depends on both charge and ion radius (smaller radius → higher energy for same - charge cations).
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C. BeS