Calculating enthalpy: a) Given 2Fe(s) + 1.5 O₂(g) → Fe₂O3 (S) AH, = = -206 kJ mol-¹, 3 Fe(s) + 2 O₂(g) → Fe3O4 (s) determine AH, for the following reaction: AH = -136 kJ mol-¹, 4Fe₂O3(s) + Fe(s) →3Fe3O4 (S) Is this reaction exothermic or endothermic? Is this enough information to inform whether this reaction occurs or not? b) Given AH vap of water at 373 K = 40.7 kJ mol¹¹, C₂(l)=75.2 J mol-¹K-¹ and Cp (g)=33.6 J mol¹¹K¹, calculate AHvap of water at 298 K.

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## Calculating Enthalpy

### a) Given Reactions:
1. \(2\text{Fe}(s) + 1.5 \text{O}_2(g) \rightarrow \text{Fe}_2\text{O}_3(s)\),  \(\Delta H^\circ_r = -206 \, \text{kJ mol}^{-1}\)

2. \(3 \text{Fe}(s) + 2 \text{O}_2(g) \rightarrow \text{Fe}_3\text{O}_4(s)\),  \(\Delta H^\circ_r = -136 \, \text{kJ mol}^{-1}\)

### Task:
Determine \(\Delta H^\circ_r\) for the following reaction:

\[4\text{Fe}_2\text{O}_3(s) + \text{Fe}(s) \rightarrow 3\text{Fe}_3\text{O}_4(s)\]

Is this reaction exothermic or endothermic? Is this enough information to inform whether this reaction occurs or not?

### b) Given Data:
- \(\Delta H^\circ_{\text{vap}}\) of water at 373 K = 40.7 kJ mol\(^{-1}\)
- \(\overline{C}_p(l)=75.2 \, \text{J mol}^{-1}\text{K}^{-1}\)
- \(\overline{C}_p(g)=33.6 \, \text{J mol}^{-1}\text{K}^{-1}\)

### Task:
Calculate \(\Delta H^\circ_{\text{vap}}\) of water at 298 K.
Transcribed Image Text:## Calculating Enthalpy ### a) Given Reactions: 1. \(2\text{Fe}(s) + 1.5 \text{O}_2(g) \rightarrow \text{Fe}_2\text{O}_3(s)\), \(\Delta H^\circ_r = -206 \, \text{kJ mol}^{-1}\) 2. \(3 \text{Fe}(s) + 2 \text{O}_2(g) \rightarrow \text{Fe}_3\text{O}_4(s)\), \(\Delta H^\circ_r = -136 \, \text{kJ mol}^{-1}\) ### Task: Determine \(\Delta H^\circ_r\) for the following reaction: \[4\text{Fe}_2\text{O}_3(s) + \text{Fe}(s) \rightarrow 3\text{Fe}_3\text{O}_4(s)\] Is this reaction exothermic or endothermic? Is this enough information to inform whether this reaction occurs or not? ### b) Given Data: - \(\Delta H^\circ_{\text{vap}}\) of water at 373 K = 40.7 kJ mol\(^{-1}\) - \(\overline{C}_p(l)=75.2 \, \text{J mol}^{-1}\text{K}^{-1}\) - \(\overline{C}_p(g)=33.6 \, \text{J mol}^{-1}\text{K}^{-1}\) ### Task: Calculate \(\Delta H^\circ_{\text{vap}}\) of water at 298 K.
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