The heat of combustion (AH) for an unknown hydrocarbon is -8.21 kJ/mol. If 0.344 mol of the hydrocarbon is burned in a bomb calorimeter, what is the change in temperature (°C) of the calorimeter? The heat capacity of the bomb calorimeter is 1.12 kJ/°C.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question
### Calorimetry Problem: Heat of Combustion

**Problem Statement:**

The heat of combustion (ΔH) for an unknown hydrocarbon is -8.21 kJ/mol. If 0.344 mol of the hydrocarbon is burned in a bomb calorimeter, what is the change in temperature (°C) of the calorimeter? The heat capacity of the bomb calorimeter is 1.12 kJ/°C.

**Analysis:**

To calculate the change in temperature, use the formula:

\[ q = m \times \Delta H \]

Where:
- \( q \) is the heat exchanged (in kJ),
- \( m \) is the number of moles of the substance,
- \( \Delta H \) is the heat of combustion per mole.

1. Calculate the total heat released:

\[ q = 0.344 \, \text{mol} \times (-8.21 \, \text{kJ/mol}) \]

2. Use the formula for heat capacity to find the change in temperature:

\[ \Delta T = \frac{q}{C} \]

Where:
- \( \Delta T \) is the change in temperature (°C),
- \( C \) is the heat capacity of the calorimeter (kJ/°C).

Calculate \( \Delta T \) by substituting the values for \( q \) and \( C \).

This setup will allow students to practice their understanding of thermodynamics and calorimetry concepts.
Transcribed Image Text:### Calorimetry Problem: Heat of Combustion **Problem Statement:** The heat of combustion (ΔH) for an unknown hydrocarbon is -8.21 kJ/mol. If 0.344 mol of the hydrocarbon is burned in a bomb calorimeter, what is the change in temperature (°C) of the calorimeter? The heat capacity of the bomb calorimeter is 1.12 kJ/°C. **Analysis:** To calculate the change in temperature, use the formula: \[ q = m \times \Delta H \] Where: - \( q \) is the heat exchanged (in kJ), - \( m \) is the number of moles of the substance, - \( \Delta H \) is the heat of combustion per mole. 1. Calculate the total heat released: \[ q = 0.344 \, \text{mol} \times (-8.21 \, \text{kJ/mol}) \] 2. Use the formula for heat capacity to find the change in temperature: \[ \Delta T = \frac{q}{C} \] Where: - \( \Delta T \) is the change in temperature (°C), - \( C \) is the heat capacity of the calorimeter (kJ/°C). Calculate \( \Delta T \) by substituting the values for \( q \) and \( C \). This setup will allow students to practice their understanding of thermodynamics and calorimetry concepts.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Thermochemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY