Calculate the enthalpy change, A, H, for the formation of 1.00 mol of magnesium carbonate (also used in flooring, fireproofing, fire extinguishing compositions, cosmetics, dusting powder, and toothpaste) from its elements. Mg(s) + C(graphite) + 3/2 O₂(g) → MgCO₂ (s) The experimental information available is Mg(s) + 1/2O₂(g) → MgO(s) AH = -601 kJ/mol-rxn MgO(s) + CO₂(g) → MgCO₂ (s) A,H=-117 kJ/mol-rxn C(graphite) + O₂(g) → CO₂(g) AH* = -394 kJ/mol-rxn

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Calculate the enthalpy change, , for the formation of 1.00 mol of magnesium carbonate (also used in flooring, fireproofing, fire extinguishing compositions, cosmetics, dusting powder, and toothpaste) from its elements.
This exercise involves calculating the enthalpy change, \(\Delta_{\text{r}}H^\circ\), for the formation of 1.00 mol of magnesium carbonate from its elements. Magnesium carbonate is commonly used in flooring, fireproofing, fire extinguishing compositions, cosmetics, dusting powder, and toothpaste.

The chemical reaction is:
\[ \text{Mg(s)} + \text{C(graphite)} + \frac{3}{2} \text{O}_2 \text{(g)} \rightarrow \text{MgCO}_3 \text{(s)} \]

The experimental information provided includes:
1. \(\text{Mg(s)} + \frac{1}{2} \text{O}_2 \text{(g)} \rightarrow \text{MgO(s)}\)  
   \(\Delta_{\text{f}}H^\circ = -601 \text{ kJ/mol-rxn}\)

2. \(\text{MgO(s)} + \text{CO}_2 \text{(g)} \rightarrow \text{MgCO}_3 \text{(s)}\)  
   \(\Delta_{\text{r}}H^\circ = -117 \text{ kJ/mol-rxn}\)

3. \(\text{C(graphite)} + \text{O}_2 \text{(g)} \rightarrow \text{CO}_2 \text{(g)}\)  
   \(\Delta_{\text{f}}H^\circ = -394 \text{ kJ/mol-rxn}\)

Using these reactions, determine \(\Delta_{\text{r}}H^\circ\) for the target reaction and enter your answer in the provided field as \(\Delta_{\text{r}}H^\circ = \, \_ \_ \_\text{kJ/mol-rxn}\).

Click "Submit" when you have calculated the enthalpy change.
Transcribed Image Text:This exercise involves calculating the enthalpy change, \(\Delta_{\text{r}}H^\circ\), for the formation of 1.00 mol of magnesium carbonate from its elements. Magnesium carbonate is commonly used in flooring, fireproofing, fire extinguishing compositions, cosmetics, dusting powder, and toothpaste. The chemical reaction is: \[ \text{Mg(s)} + \text{C(graphite)} + \frac{3}{2} \text{O}_2 \text{(g)} \rightarrow \text{MgCO}_3 \text{(s)} \] The experimental information provided includes: 1. \(\text{Mg(s)} + \frac{1}{2} \text{O}_2 \text{(g)} \rightarrow \text{MgO(s)}\) \(\Delta_{\text{f}}H^\circ = -601 \text{ kJ/mol-rxn}\) 2. \(\text{MgO(s)} + \text{CO}_2 \text{(g)} \rightarrow \text{MgCO}_3 \text{(s)}\) \(\Delta_{\text{r}}H^\circ = -117 \text{ kJ/mol-rxn}\) 3. \(\text{C(graphite)} + \text{O}_2 \text{(g)} \rightarrow \text{CO}_2 \text{(g)}\) \(\Delta_{\text{f}}H^\circ = -394 \text{ kJ/mol-rxn}\) Using these reactions, determine \(\Delta_{\text{r}}H^\circ\) for the target reaction and enter your answer in the provided field as \(\Delta_{\text{r}}H^\circ = \, \_ \_ \_\text{kJ/mol-rxn}\). Click "Submit" when you have calculated the enthalpy change.
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