Write balanced net ionic equations for the reactions that occur in each of the following cases

Write balanced net ionic equations for the reactions that occur in each of the following cases. Identify the spectator ion or ions in each reaction: (a) Cr2(SO4)3(aq) + 3(NH4)2CO3(aq) → 2Cr(CO3)3(s) + 6NH4SO4(aq) Spectator ions: NH4+ and SO4^2- (b) Ba(NO3)2(aq) + K2SO4(aq) → BaSO4(s) + 2KNO3(aq) Spectator ions: K+ and NO3- (c) Fe(NO2)2(aq) + 2KOH(aq) → Fe(OH)2(s) + 2KNO2(aq) Spectator ions: K+ and NO2-

The Correct Answer and Explanation is:

Let’s break down each reaction and find the balanced net ionic equations, along with identifying the spectator ions.

(a) Reaction: Cr2(SO4)3(aq) + 3(NH4)2CO3(aq) → 2Cr(CO3)3(s) + 6NH4SO4(aq)

  1. Complete Ionic Equation: Cr2(SO4)3(aq)+3NH4CO3(aq)→2Cr(CO3)3(s)+6NH4SO4(aq)\text{Cr}_2(\text{SO}_4)_3(aq) + 3\text{NH}_4\text{CO}_3(aq) \rightarrow 2\text{Cr}(\text{CO}_3)_3(s) + 6\text{NH}_4\text{SO}_4(aq)Cr2​(SO4​)3​(aq)+3NH4​CO3​(aq)→2Cr(CO3​)3​(s)+6NH4​SO4​(aq) This equation involves all species in their ionic forms. Ammonium sulfate (NH4SO4\text{NH}_4\text{SO}_4NH4​SO4​) and chromium sulfate (Cr2(SO4)3\text{Cr}_2(\text{SO}_4)_3Cr2​(SO4​)3​) dissociate into ions.
  2. Dissociation into Ions:
    • Cr2(SO4)3\text{Cr}_2(\text{SO}_4)_3Cr2​(SO4​)3​ dissociates into 2 Cr3+\text{Cr}^{3+}Cr3+ and 3 SO42−\text{SO}_4^{2-}SO42−​.
    • NH4CO3\text{NH}_4\text{CO}_3NH4​CO3​ dissociates into 2 NH4+\text{NH}_4^{+}NH4+​ and CO32−\text{CO}_3^{2-}CO32−​.
  3. Net Ionic Equation:
    After removing spectator ions (those that appear unchanged on both sides of the equation), we have: 2Cr3+(aq)+3CO32−(aq)→2Cr(CO3)3(s)2\text{Cr}^{3+}(aq) + 3\text{CO}_3^{2-}(aq) \rightarrow 2\text{Cr}(\text{CO}_3)_3(s)2Cr3+(aq)+3CO32−​(aq)→2Cr(CO3​)3​(s)
    • Spectator ions: NH4+\text{NH}_4^{+}NH4+​ and SO42−\text{SO}_4^{2-}SO42−​, as these ions do not change during the reaction.

(b) Reaction: Ba(NO3)2(aq) + K2SO4(aq) → BaSO4(s) + 2KNO3(aq)

  1. Complete Ionic Equation: Ba(NO3)2(aq)+K2SO4(aq)→BaSO4(s)+2KNO3(aq)\text{Ba(NO}_3\text{)}_2(aq) + \text{K}_2\text{SO}_4(aq) \rightarrow \text{BaSO}_4(s) + 2\text{KNO}_3(aq)Ba(NO3​)2​(aq)+K2​SO4​(aq)→BaSO4​(s)+2KNO3​(aq) Both barium nitrate and potassium sulfate dissociate into their ions.
  2. Dissociation into Ions:
    • Ba(NO3)2\text{Ba(NO}_3\text{)}_2Ba(NO3​)2​ dissociates into Ba2+\text{Ba}^{2+}Ba2+ and 2 NO3−\text{NO}_3^{-}NO3−​.
    • K2SO4\text{K}_2\text{SO}_4K2​SO4​ dissociates into 2 K+\text{K}^{+}K+ and SO42−\text{SO}_4^{2-}SO42−​.
  3. Net Ionic Equation:
    After removing spectator ions: Ba2+(aq)+SO42−(aq)→BaSO4(s)\text{Ba}^{2+}(aq) + \text{SO}_4^{2-}(aq) \rightarrow \text{BaSO}_4(s)Ba2+(aq)+SO42−​(aq)→BaSO4​(s)
    • Spectator ions: K+\text{K}^{+}K+ and NO3−\text{NO}_3^{-}NO3−​, which do not participate in the formation of the precipitate.

(c) Reaction: Fe(NO2)2(aq) + 2KOH(aq) → Fe(OH)2(s) + 2KNO2(aq)

  1. Complete Ionic Equation: Fe(NO2)2(aq)+2KOH(aq)→Fe(OH)2(s)+2KNO2(aq)\text{Fe(NO}_2\text{)}_2(aq) + 2\text{KOH}(aq) \rightarrow \text{Fe(OH)}_2(s) + 2\text{KNO}_2(aq)Fe(NO2​)2​(aq)+2KOH(aq)→Fe(OH)2​(s)+2KNO2​(aq) Iron(II) nitrite and potassium hydroxide dissociate into ions.
  2. Dissociation into Ions:
    • Fe(NO2)2\text{Fe(NO}_2\text{)}_2Fe(NO2​)2​ dissociates into Fe2+\text{Fe}^{2+}Fe2+ and 2 NO2−\text{NO}_2^{-}NO2−​.
    • KOH\text{KOH}KOH dissociates into K+\text{K}^{+}K+ and OH−\text{OH}^{-}OH−.
  3. Net Ionic Equation:
    After removing spectator ions: Fe2+(aq)+2OH−(aq)→Fe(OH)2(s)\text{Fe}^{2+}(aq) + 2\text{OH}^{-}(aq) \rightarrow \text{Fe(OH)}_2(s)Fe2+(aq)+2OH−(aq)→Fe(OH)2​(s)
    • Spectator ions: K+\text{K}^{+}K+ and NO2−\text{NO}_2^{-}NO2−​, which remain unchanged during the reaction.

Summary of Spectator Ions:

  • (a) NH4+\text{NH}_4^{+}NH4+​ and SO42−\text{SO}_4^{2-}SO42−​
  • (b) K+\text{K}^{+}K+ and NO3−\text{NO}_3^{-}NO3−​
  • (c) K+\text{K}^{+}K+ and NO2−\text{NO}_2^{-}NO2−​

Spectator ions are ions that exist in the same form on both sides of the chemical equation and do not participate in the reaction, remaining unchanged throughout the process.

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