21. Given the following two equations С-Н-ОН(1) + 3 O2(8) → 2 CO2(8) + 3 H2O(1) AH = -1370 kJ СЭНА(8) + 3 Ог(8) → 2 CO2(8) + 2 H2O(1) AH = -1410 kJ Calculate AH for the reaction C2H4(8) + H2O(1) → CH$OH(1) ΔΗ-? %3D a. -2780 kJ b. 2780 kJ c. -40 kJ d. 40 kJ

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**Problem 21: Thermochemistry**

21. Given the following two equations:

\[ \text{C}_2\text{H}_5\text{OH(l)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 3 \text{H}_2\text{O(l)} \quad \Delta H = -1370 \, \text{kJ} \]

\[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(l)} \quad \Delta H = -1410 \, \text{kJ} \]

**Calculate \(\Delta H\) for the reaction:**

\[ \text{C}_2\text{H}_4\text{(g)} + \text{H}_2\text{O(l)} \rightarrow \text{C}_2\text{H}_5\text{OH(l)} \quad \Delta H = ? \]

**Options:**

a. \(-2780 \, \text{kJ}\)

b. \(2780 \, \text{kJ}\)

c. \(-40 \, \text{kJ}\)

d. \(40 \, \text{kJ}\) 

---

### Explanation

To solve this problem, we need to manipulate the given thermochemical equations to derive the enthalpy change (\(\Delta H\)) for the target reaction. Consider using Hess's Law, which states that the total enthalpy change in a chemical reaction is the same regardless of the pathway taken, as long as initial and final conditions are the same. The strategy involves reversing and/or multiplying the given equations as necessary to sum to the desired reaction.
Transcribed Image Text:**Problem 21: Thermochemistry** 21. Given the following two equations: \[ \text{C}_2\text{H}_5\text{OH(l)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 3 \text{H}_2\text{O(l)} \quad \Delta H = -1370 \, \text{kJ} \] \[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(l)} \quad \Delta H = -1410 \, \text{kJ} \] **Calculate \(\Delta H\) for the reaction:** \[ \text{C}_2\text{H}_4\text{(g)} + \text{H}_2\text{O(l)} \rightarrow \text{C}_2\text{H}_5\text{OH(l)} \quad \Delta H = ? \] **Options:** a. \(-2780 \, \text{kJ}\) b. \(2780 \, \text{kJ}\) c. \(-40 \, \text{kJ}\) d. \(40 \, \text{kJ}\) --- ### Explanation To solve this problem, we need to manipulate the given thermochemical equations to derive the enthalpy change (\(\Delta H\)) for the target reaction. Consider using Hess's Law, which states that the total enthalpy change in a chemical reaction is the same regardless of the pathway taken, as long as initial and final conditions are the same. The strategy involves reversing and/or multiplying the given equations as necessary to sum to the desired reaction.
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