In the laboratory a "coffee cup" calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction. A chunk of platinum weighing 18.92 grams and originally at 98.76 °C is dropped into an insulated cup containing 85.48 grams of water at 20.46 °C. Water Thermometer Metal- sample 2003 Thomson-Brooks/Cole Stirring rod The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determine a separate experiment to be 1.69 J/°C. Using the accepted value for the specific heat of platinum (See the References tool), calculate the final temperature of the water. Assume that no heat is lost to the surroundings. Tfinal °℃

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
Question
### Experiment: Determining the Specific Heat with a Coffee Cup Calorimeter

In the laboratory, a "coffee cup" calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction.

#### Experimental Setup
A chunk of platinum weighing 18.92 grams and originally at 98.76 °C is dropped into an insulated cup containing 85.48 grams of water at 20.46 °C.

#### Diagram Explanation

A graphical representation of the calorimeter setup is provided:
- **Thermometer**: Used to measure the temperature of the water.
- **Stirring Rod**: Used for mixing the water to ensure uniform temperature distribution.
- **Insulated Cup**: This contains the water and helps minimize heat exchange with the environment.
- **Water**: The medium that absorbs the heat from the platinum chunk.
- **Metal Sample**: The platinum chunk heated to a specific temperature before being added to the water.

![Calorimeter Setup](https://example.com/diagram) *(Note: Replace with actual image link)*

The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.69 J/°C.

Using the accepted value for the specific heat of platinum, calculate the final temperature of the water. Assume that no heat is lost to the surroundings.

\[ T_{\text{final}} = \_\_\_\_ \, \text{°C} \]

#### Calculation Instructions

To find the final temperature (\( T_{\text{final}} \)) of the water, use the following steps:

1. **Write the Heat Transfer Equations**:
   - Heat lost by platinum = Heat gained by water + Heat absorbed by the calorimeter.
   
2. **Use the Specific Heat Formula**:
   - For platinum: \( q_{\text{platinum}} = m_{\text{platinum}} \cdot c_{\text{platinum}} \cdot (T_{\text{initial, platinum}} - T_{\text{final}}) \)
   - For water: \( q_{\text{water}} = m_{\text{water}} \cdot c_{\text{water}} \cdot (T_{\text{final}} - T_{\text{initial, water}}) \)
   - Heat absorbed by the calorimeter: \(
Transcribed Image Text:### Experiment: Determining the Specific Heat with a Coffee Cup Calorimeter In the laboratory, a "coffee cup" calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction. #### Experimental Setup A chunk of platinum weighing 18.92 grams and originally at 98.76 °C is dropped into an insulated cup containing 85.48 grams of water at 20.46 °C. #### Diagram Explanation A graphical representation of the calorimeter setup is provided: - **Thermometer**: Used to measure the temperature of the water. - **Stirring Rod**: Used for mixing the water to ensure uniform temperature distribution. - **Insulated Cup**: This contains the water and helps minimize heat exchange with the environment. - **Water**: The medium that absorbs the heat from the platinum chunk. - **Metal Sample**: The platinum chunk heated to a specific temperature before being added to the water. ![Calorimeter Setup](https://example.com/diagram) *(Note: Replace with actual image link)* The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.69 J/°C. Using the accepted value for the specific heat of platinum, calculate the final temperature of the water. Assume that no heat is lost to the surroundings. \[ T_{\text{final}} = \_\_\_\_ \, \text{°C} \] #### Calculation Instructions To find the final temperature (\( T_{\text{final}} \)) of the water, use the following steps: 1. **Write the Heat Transfer Equations**: - Heat lost by platinum = Heat gained by water + Heat absorbed by the calorimeter. 2. **Use the Specific Heat Formula**: - For platinum: \( q_{\text{platinum}} = m_{\text{platinum}} \cdot c_{\text{platinum}} \cdot (T_{\text{initial, platinum}} - T_{\text{final}}) \) - For water: \( q_{\text{water}} = m_{\text{water}} \cdot c_{\text{water}} \cdot (T_{\text{final}} - T_{\text{initial, water}}) \) - Heat absorbed by the calorimeter: \(
### Calorimetry in the Laboratory

In the laboratory, a "coffee cup" calorimeter or constant pressure calorimeter is frequently used to determine the specific heat of a solid or to measure the energy of a solution phase reaction.

![Calorimeter Diagram](image.jpg)

**Diagram Description:**
The diagram depicts a "coffee cup" calorimeter containing water and a metal sample. The components include:
- **Thermometer:** Measures the temperature of the water.
- **Stirring rod:** Helps to evenly distribute the temperature within the water.
- **Water:** The medium in which thermal changes are observed.
- **Metal sample:** The object being tested for its thermal properties.

Since the cup itself can absorb energy, a separate experiment is necessary to determine the heat capacity of the calorimeter. This process is known as calibrating the calorimeter, and the value determined is called the calorimeter constant.

### Calibration Example

One way to determine the calorimeter constant is to use a metal with a known heat capacity. 

#### Experimental Procedure:
1. A student heats 90.57 grams of iron to 97.76 °C.
2. The heated iron is then dropped into the calorimeter containing 83.51 grams of water at 24.27 °C.
3. The final temperature of the mixture is measured to be 31.82 °C.

Using the accepted value for the specific heat capacity of iron (consult the References tool for the exact value), the calorimeter constant can be calculated.

### Calculate the Calorimeter Constant

Using the provided data:
- Initial temperature of water: 24.27 °C
- Final temperature (equilibrium): 31.82 °C
- Mass of iron sample: 90.57 g
- Initial temperature of iron: 97.76 °C
- Mass of water: 83.51 g
- Specific heat capacity of water: 4.18 J/g°C (assumed known)

With these values, the calorimeter constant can be calculated as follows:

\[ \text{Calorimeter Constant} = 7.34 \, \text{J/°C} \]

This value is essential for future experiments involving the same calorimeter, as it accounts for the heat absorbed by the calorimeter itself.
Transcribed Image Text:### Calorimetry in the Laboratory In the laboratory, a "coffee cup" calorimeter or constant pressure calorimeter is frequently used to determine the specific heat of a solid or to measure the energy of a solution phase reaction. ![Calorimeter Diagram](image.jpg) **Diagram Description:** The diagram depicts a "coffee cup" calorimeter containing water and a metal sample. The components include: - **Thermometer:** Measures the temperature of the water. - **Stirring rod:** Helps to evenly distribute the temperature within the water. - **Water:** The medium in which thermal changes are observed. - **Metal sample:** The object being tested for its thermal properties. Since the cup itself can absorb energy, a separate experiment is necessary to determine the heat capacity of the calorimeter. This process is known as calibrating the calorimeter, and the value determined is called the calorimeter constant. ### Calibration Example One way to determine the calorimeter constant is to use a metal with a known heat capacity. #### Experimental Procedure: 1. A student heats 90.57 grams of iron to 97.76 °C. 2. The heated iron is then dropped into the calorimeter containing 83.51 grams of water at 24.27 °C. 3. The final temperature of the mixture is measured to be 31.82 °C. Using the accepted value for the specific heat capacity of iron (consult the References tool for the exact value), the calorimeter constant can be calculated. ### Calculate the Calorimeter Constant Using the provided data: - Initial temperature of water: 24.27 °C - Final temperature (equilibrium): 31.82 °C - Mass of iron sample: 90.57 g - Initial temperature of iron: 97.76 °C - Mass of water: 83.51 g - Specific heat capacity of water: 4.18 J/g°C (assumed known) With these values, the calorimeter constant can be calculated as follows: \[ \text{Calorimeter Constant} = 7.34 \, \text{J/°C} \] This value is essential for future experiments involving the same calorimeter, as it accounts for the heat absorbed by the calorimeter itself.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Energy
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
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