8 **Problem 8: Calculation of Enthalpy of Decomposition of Aluminum Chloride****Reaction:**\[ 2\text{AlCl}_3 (s) \rightarrow 2\text{Al} (s) + 3\text{Cl}_2 (g) \]Use the following four equations and their standard enthalpies of formation (\( \Delta H_f^\circ \)):a) \[ 2\text{Al} (s) + 6\text{HCl} (aq) \rightarrow 2\text{AlCl}_3 (aq) + 3\text{H}_2 (g) \] \(\Delta H_f^\circ = -1049 \, \text{kJ/mol}\)b) \[ \text{HCl} (aq) \rightarrow \text{HCl} (g) \] \(\Delta H_f^\circ = 74.8 \, \text{kJ/mol}\)c) \[ \text{H}_2 (g) + \text{Cl}_2 (g) \rightarrow 2\text{HCl} (g) \] \(\Delta H_f^\circ = -1845 \, \text{kJ/mol}\)d) \[ \text{AlCl}_3 (s) \rightarrow \text{AlCl}_3 (aq) \] \(\Delta H_f^\circ = -323 \, \text{kJ/mol}\)To solve, use Hess's Law to combine these reactions to match the desired overall decomposition reaction.

This problem is based on Hess's law.We have,(a) 2Al(s) + 6HCl → 2AlCl3(aq) + 3H2 ; ∆Hf1° = -1049 KJmol(b) HCl (aq) → HCl(g) ; ∆Hf2° = 74.8 KJmol(c) H2 (g) + Cl2(g) → 2HCl(g) ; ∆Hf3° = -1845 KJmol(d) AlCl3(S) → 2Al Cl3 (aq) ; ∆Hf4° = -323 KJmol(e) 2AlCl3(S) → 2Al(S) + 3Cl2 ; ∆Hd° Solving 2x(d) + 2(b) - 3(c) - (a), we get (e)So, ∆Hd° = 2x(-323)+2x(74.8)-3x(-18+5)-(104g)or, ∆Hd° = 6087.6 KJmol

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Chemistry

8. Calculate the enthalpy of decomposition of aluminum chloride in the following reaction: 2AICI; (s) 2A1 (s) + 3C12 (g) ---> Use the following four equations: a) 2A1 (s) + 6HCI (aq) 2AICI3 (aq) + 3H2 (g) | AH°;= -1049 kJ/mol b) HC1 (aq) → HC1 (g) AHf = 74.8 kJ/mol AH = -1845 kJ/mol c) H2 (g) + Cl2 (g) → 2HC1 (g) AH; = -323 kJ/mol d) AIC13 (s) → AICI3 (aq)

8. Calculate the enthalpy of decomposition of aluminum chloride in the following reaction: 2AICI; (s) 2A1 (s) + 3C12 (g) ---> Use the following four equations: a) 2A1 (s) + 6HCI (aq) 2AICI3 (aq) + 3H2 (g) | AH°;= -1049 kJ/mol b) HC1 (aq) → HC1 (g) AHf = 74.8 kJ/mol AH = -1845 kJ/mol c) H2 (g) + Cl2 (g) → 2HC1 (g) AH; = -323 kJ/mol d) AIC13 (s) → AICI3 (aq)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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