1. A piece of iron weighing 72.4g is heated to 100.0°C and plunged into 100.0g water that is initially at 10.0°C in a coffee cup calorimeter. Calculate the final temperature that is reached. Swater = 4.184 J/g°C; SFe = 0.449J/gºC. a. What is the question asking for? b. What information is given? c. Make a sketch of what is happening in this problem. d. What equation(s) will you use? e. Solve it!
1. A piece of iron weighing 72.4g is heated to 100.0°C and plunged into 100.0g water that is initially at 10.0°C in a coffee cup calorimeter. Calculate the final temperature that is reached. Swater = 4.184 J/g°C; SFe = 0.449J/gºC. a. What is the question asking for? b. What information is given? c. Make a sketch of what is happening in this problem. d. What equation(s) will you use? e. Solve it!
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...
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![**Title: Calculating Final Temperature in a Calorimetry Experiment**
**Problem Statement:**
A piece of iron weighing 72.4g is heated to 100.0°C and plunged into 100.0g of water that is initially at 10.0°C in a coffee cup calorimeter. Calculate the final temperature that is reached. The specific heat capacities are:
- Water (\(S_{\text{water}}\)) = 4.184 J/g°C
- Iron (\(S_{\text{Fe}}\)) = 0.449 J/g°C
**Questions to Consider:**
a. **What is the question asking for?**
- The final equilibrium temperature after the iron is submerged in the water.
b. **What information is given?**
- Mass of iron: 72.4g
- Initial temperature of iron: 100.0°C
- Mass of water: 100.0g
- Initial temperature of water: 10.0°C
- \(S_{\text{water}}\): 4.184 J/g°C
- \(S_{\text{Fe}}\): 0.449 J/g°C
c. **Make a sketch of what is happening in this problem.**
- Visualize a piece of iron being submerged in a cup of water.
- The heat from the iron transfers to the water until thermal equilibrium is reached.
d. **What equation(s) will you use?**
- Use the principle of conservation of energy (heat lost by iron = heat gained by water).
e. **Solve it!**
- Set up the equation:
\[(m_{\text{Fe}} \cdot S_{\text{Fe}} \cdot (T_{\text{final}} - T_{\text{initial,Fe}})) = -(m_{\text{water}} \cdot S_{\text{water}} \cdot (T_{\text{final}} - T_{\text{initial,water}}))\]
- Substitute the given values and solve for \(T_{\text{final}}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e1cb03f-91d2-4991-91c8-37c8965f1bd7%2F0c7f4c0c-53b3-4194-8f6f-49226e9b221e%2Ftamzhv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Final Temperature in a Calorimetry Experiment**
**Problem Statement:**
A piece of iron weighing 72.4g is heated to 100.0°C and plunged into 100.0g of water that is initially at 10.0°C in a coffee cup calorimeter. Calculate the final temperature that is reached. The specific heat capacities are:
- Water (\(S_{\text{water}}\)) = 4.184 J/g°C
- Iron (\(S_{\text{Fe}}\)) = 0.449 J/g°C
**Questions to Consider:**
a. **What is the question asking for?**
- The final equilibrium temperature after the iron is submerged in the water.
b. **What information is given?**
- Mass of iron: 72.4g
- Initial temperature of iron: 100.0°C
- Mass of water: 100.0g
- Initial temperature of water: 10.0°C
- \(S_{\text{water}}\): 4.184 J/g°C
- \(S_{\text{Fe}}\): 0.449 J/g°C
c. **Make a sketch of what is happening in this problem.**
- Visualize a piece of iron being submerged in a cup of water.
- The heat from the iron transfers to the water until thermal equilibrium is reached.
d. **What equation(s) will you use?**
- Use the principle of conservation of energy (heat lost by iron = heat gained by water).
e. **Solve it!**
- Set up the equation:
\[(m_{\text{Fe}} \cdot S_{\text{Fe}} \cdot (T_{\text{final}} - T_{\text{initial,Fe}})) = -(m_{\text{water}} \cdot S_{\text{water}} \cdot (T_{\text{final}} - T_{\text{initial,water}}))\]
- Substitute the given values and solve for \(T_{\text{final}}\).
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