4. 3. TCactions, Wilere M represents à generic metal. 1. 2 M(s) + 6 HCl(aq) → 2 MCl, (aq) + 3 H, (g) AH1 = -847.0 kJ %3D 2. HCl(g) → HCI(aq) AH2 = -74.8 kJ %3D H, (g) + Cl,(g) –→ 2 HCl(g) AH3 = -1845.0 kJ %3D MCI, (s) → MCI, (aq) AH4 = -424.0 kJ | Use the given information to determine the enthalpy of the reaction 2 M(s) + 3 Cl,(g)→ 2 MCI,(s) ΔΗ-

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**Determining Enthalpy of a Reaction**

Consider these reactions, where M represents a generic metal:

1. \( 2M(s) + 6HCl(aq) \rightarrow 2MCl_3(aq) + 3H_2(g) \)  
 ΔH\(_1\) = -847.0 kJ

2. \( HCl(g) \rightarrow HCl(aq) \)  
 ΔH\(_2\) = -74.8 kJ

3. \( H_2(g) + Cl_2(g) \rightarrow 2HCl(g) \)  
 ΔH\(_3\) = -1845.0 kJ

4. \( MCl_3(s) \rightarrow MCl_3(aq) \)  
 ΔH\(_4\) = -424.0 kJ

---

**Objective:**  
Use the given information to determine the enthalpy of the reaction:

\[
2M(s) + 3Cl_2(g) \rightarrow 2MCl_3(s)
\]

---

**Calculation:**  
To find the enthalpy change (ΔH) for the target reaction, apply Hess's law using the provided reaction enthalpies. The solution involves algebraically combining these reactions to match the target equation and summing their respective ΔH values.

\[
\boxed{\Delta H =}
\]
Transcribed Image Text:**Determining Enthalpy of a Reaction** Consider these reactions, where M represents a generic metal: 1. \( 2M(s) + 6HCl(aq) \rightarrow 2MCl_3(aq) + 3H_2(g) \) ΔH\(_1\) = -847.0 kJ 2. \( HCl(g) \rightarrow HCl(aq) \) ΔH\(_2\) = -74.8 kJ 3. \( H_2(g) + Cl_2(g) \rightarrow 2HCl(g) \) ΔH\(_3\) = -1845.0 kJ 4. \( MCl_3(s) \rightarrow MCl_3(aq) \) ΔH\(_4\) = -424.0 kJ --- **Objective:** Use the given information to determine the enthalpy of the reaction: \[ 2M(s) + 3Cl_2(g) \rightarrow 2MCl_3(s) \] --- **Calculation:** To find the enthalpy change (ΔH) for the target reaction, apply Hess's law using the provided reaction enthalpies. The solution involves algebraically combining these reactions to match the target equation and summing their respective ΔH values. \[ \boxed{\Delta H =} \]
Expert Solution
Step 1

Consider the given reactions.

2Ms+6HClaq2MCl3aq+3H2g                H1=-847 kJHClgHClaq                                                H2=-74.8 kJ

H2g+Cl2g2HClg                       H3=-1845 kJMCl3sMCl3aq                                H4=-424 kJ

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