Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

date: prepwork part 1: melting point oer practice 1. which of the follo…

Question

date:
prepwork part 1: melting point oer practice

  1. which of the following compounds will have the highest melting point?

(a) srs (b) bas (c) bes (d) mgs

  1. briefly explain your response to q1:
  1. if a student chose answer choice (a) instead, what mistake did s/he make? how can s/he avoid this

in the future?

  1. which of the following compounds will have the highest melting point?

(a) na₂p (b) nacl (c) gacl₃ (d) mg₃n₂

  1. briefly explain your response to q4:
  1. if a student chose answer choice (b) instead, what mistake did s/he make? how can s/he avoid this

in the future?

Explanation:

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.

Brief Explanations

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.

Brief Explanations

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).

Answer:

C. BeS

Question 2