Questions: ZnO(s) + 2HCl(aq) → ZnCl₂(aq) + H₂O(l) ΔH° = +14.4 kJ/mol + Spontaneous at low temp. Co(s) + Cl₂(g) → CoCl₂(s) ΔH° = +10.4 kJ/mol + Spontaneous at low temp. NiAl(s) → Ni(s) + Al(s) ΔH° = +85.1 kJ/mol + Spontaneous at high temp. NaN + O₂(g) → Na₂O(s) ΔH° = -180.7 kJ/mol - Spontaneous at all temps. 3O(s) → O₃(g) exothermic - Spontaneous at low temps.

ZnO(s) + 2HCl(aq) → ZnCl₂(aq) + H₂O(l)  ΔH° = +14.4 kJ/mol  +  Spontaneous at low temp.

Co(s) + Cl₂(g) → CoCl₂(s)  ΔH° = +10.4 kJ/mol  +  Spontaneous at low temp.

NiAl(s) → Ni(s) + Al(s)  ΔH° = +85.1 kJ/mol  +  Spontaneous at high temp.

NaN + O₂(g) → Na₂O(s)  ΔH° = -180.7 kJ/mol  -  Spontaneous at all temps.

3O(s) → O₃(g)  exothermic  -  Spontaneous at low temps.
Transcript text: ZnO(s) + 2HCl(aq) → ZnCl₂(aq) + H₂O(l) | ΔH° = +14.4 kJ/mol | + | Spontaneous at low temp. Co(s) + Cl₂(g) → CoCl₂(s) | ΔH° = +10.4 kJ/mol | + | Spontaneous at low temp. NiAl(s) → Ni(s) + Al(s) | ΔH° = +85.1 kJ/mol | + | Spontaneous at high temp. NaN + O₂(g) → Na₂O(s) | ΔH° = -180.7 kJ/mol | - | Spontaneous at all temps. 3O(s) → O₃(g) | exothermic | - | Spontaneous at low temps.
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Solution

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Solution Steps

Step 1: Identify the Reactions and Their Enthalpy Changes

We are given five reactions with their respective enthalpy changes (\(\Delta H^\circ\)):

  1. \( \text{ZnO(s) + 2HCl(aq) → ZnCl}_2\text{(aq) + H}_2\text{O(l)} \) with \( \Delta H^\circ = +14.4 \text{ kJ/mol} \)
  2. \( \text{Co(s) + Cl}_2\text{(g) → CoCl}_2\text{(s)} \) with \( \Delta H^\circ = +10.4 \text{ kJ/mol} \)
  3. \( \text{NiAl(s) → Ni(s) + Al(s)} \) with \( \Delta H^\circ = +85.1 \text{ kJ/mol} \)
  4. \( \text{NaN + O}_2\text{(g) → Na}_2\text{O(s)} \) with \( \Delta H^\circ = -180.7 \text{ kJ/mol} \)
  5. \( \text{3O(s) → O}_3\text{(g)} \) is exothermic
Step 2: Determine the Entropy Change (\(\Delta S^\circ\)) for Each Reaction

We are given the entropy change (\(\Delta S^\circ\)) for each reaction:

  1. \( \Delta S^\circ = + \)
  2. \( \Delta S^\circ = + \)
  3. \( \Delta S^\circ = + \)
  4. \( \Delta S^\circ = - \)
  5. \( \Delta S^\circ = - \)
Step 3: Determine the Spontaneity of Each Reaction

To determine the spontaneity of each reaction, we use the Gibbs free energy equation:

\[ \Delta G^\circ = \Delta H^\circ - T\Delta S^\circ \]

A reaction is spontaneous if \(\Delta G^\circ < 0\).

  1. For \( \text{ZnO(s) + 2HCl(aq) → ZnCl}_2\text{(aq) + H}_2\text{O(l)} \):

    • \( \Delta H^\circ = +14.4 \text{ kJ/mol} \)
    • \( \Delta S^\circ = + \)
    • Spontaneous at low temperatures because \(\Delta H^\circ > 0\) and \(\Delta S^\circ > 0\).
  2. For \( \text{Co(s) + Cl}_2\text{(g) → CoCl}_2\text{(s)} \):

    • \( \Delta H^\circ = +10.4 \text{ kJ/mol} \)
    • \( \Delta S^\circ = + \)
    • Spontaneous at low temperatures because \(\Delta H^\circ > 0\) and \(\Delta S^\circ > 0\).
  3. For \( \text{NiAl(s) → Ni(s) + Al(s)} \):

    • \( \Delta H^\circ = +85.1 \text{ kJ/mol} \)
    • \( \Delta S^\circ = + \)
    • Spontaneous at high temperatures because \(\Delta H^\circ > 0\) and \(\Delta S^\circ > 0\).

Final Answer

  1. For \( \text{ZnO(s) + 2HCl(aq) → ZnCl}_2\text{(aq) + H}_2\text{O(l)} \): \[ \boxed{\text{Spontaneous at low temp.}} \]

  2. For \( \text{Co(s) + Cl}_2\text{(g) → CoCl}_2\text{(s)} \): \[ \boxed{\text{Spontaneous at low temp.}} \]

  3. For \( \text{NiAl(s) → Ni(s) + Al(s)} \): \[ \boxed{\text{Spontaneous at high temp.}} \]

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