Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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## Thermochemical Calculations for Kerosene Combustion

### Problem 1:
**Initial Condition:**
A 10.712g block of metal receives 6.795 kJ of heat, resulting in a temperature increase of 11.4°C.

**Task:**
Calculate the specific heat capacity of the metal in J/g°C.

---

### Problem 2:
**Consideration:**
The thermochemical reaction for kerosene is given as:
\[ 2 \, \text{C}_{12}\text{H}_{26(l)} + 37 \, \text{O}_{2(g)} \rightarrow 24 \, \text{CO}_{2(g)} + 26 \, \text{H}_2\text{O}_{(l)} \]
\[ \Delta H = -15,026 \, \text{kJ} \]

#### (a) Equivalence Statements
Write four equivalence statements using the enthalpy of the reaction, focusing on energy to mole amounts.

#### (b) Energy Level Diagram
Illustrate the energy level diagram for this process.

#### (c) Heat Release Calculation
If 43.2 g of CO₂ are produced, calculate the amount of heat released. (Hint: Write the energy as an equivalent statement with moles, similar to what was shown in class.)

#### (d) Reactant Consumption
Determine how many grams of C₁₂H₂₆ are consumed if 2500 kJ of heat is released.

#### (e) Heat Generation Application
Calculate the grams of C₁₂H₂₆ needed to provide enough heat to raise the temperature of 250 g of liquid water from 10°C to 85°C. Use the specific heat capacity of water, \( \text{Cp} = 4.184 \, \text{J/g°C} \), and calculate the energy required for this temperature change first.
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Transcribed Image Text:## Thermochemical Calculations for Kerosene Combustion ### Problem 1: **Initial Condition:** A 10.712g block of metal receives 6.795 kJ of heat, resulting in a temperature increase of 11.4°C. **Task:** Calculate the specific heat capacity of the metal in J/g°C. --- ### Problem 2: **Consideration:** The thermochemical reaction for kerosene is given as: \[ 2 \, \text{C}_{12}\text{H}_{26(l)} + 37 \, \text{O}_{2(g)} \rightarrow 24 \, \text{CO}_{2(g)} + 26 \, \text{H}_2\text{O}_{(l)} \] \[ \Delta H = -15,026 \, \text{kJ} \] #### (a) Equivalence Statements Write four equivalence statements using the enthalpy of the reaction, focusing on energy to mole amounts. #### (b) Energy Level Diagram Illustrate the energy level diagram for this process. #### (c) Heat Release Calculation If 43.2 g of CO₂ are produced, calculate the amount of heat released. (Hint: Write the energy as an equivalent statement with moles, similar to what was shown in class.) #### (d) Reactant Consumption Determine how many grams of C₁₂H₂₆ are consumed if 2500 kJ of heat is released. #### (e) Heat Generation Application Calculate the grams of C₁₂H₂₆ needed to provide enough heat to raise the temperature of 250 g of liquid water from 10°C to 85°C. Use the specific heat capacity of water, \( \text{Cp} = 4.184 \, \text{J/g°C} \), and calculate the energy required for this temperature change first.
Expert Solution
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Step 1

#2:

The balanced thermochemical equation for the combustion of kerosine is:

2C12H16(l) + 37O2(g)  24CO2(g) + 26H2O(l) ; H = - 15.026 kJ 

 

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