7.) Two blocks of Cu, one mass 100 g and the other mass 150 g, are placed in thermal contact with one another in an adiabatic chamber, such that no heat can escape. If the 100 g piece is initially at 300 K and the 150 g piece is 400 K, then what is the final equilibrium temperature of the system? (note: Cp for Cu = 0.386 J/g K, also the heat lost by one will be gained by the other)
7.) Two blocks of Cu, one mass 100 g and the other mass 150 g, are placed in thermal contact with one another in an adiabatic chamber, such that no heat can escape. If the 100 g piece is initially at 300 K and the 150 g piece is 400 K, then what is the final equilibrium temperature of the system? (note: Cp for Cu = 0.386 J/g K, also the heat lost by one will be gained by the other)
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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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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![**Educational Content on Thermal Equilibrium in an Adiabatic Chamber**
**Scenario:** Two blocks of copper (Cu), one with a mass of 100 g and the other with a mass of 150 g, are placed in thermal contact inside an adiabatic chamber where no heat can escape. The 100 g piece starts at 300 K and the 150 g piece at 400 K. We aim to find the final equilibrium temperature of the system.
**Given:**
- Specific heat capacity \( C_p \) for Cu: 0.386 J/g·K
- \( q = 0 \) (adiabatic condition: heat lost by one is gained by the other)
**Formulas:**
- Final temperature \( T_f \):
\[
T_f = T_i \left(\frac{v_i}{v_f}\right)^{\frac{1}{c}}
\]
- Specific heat formula:
\[
c = \frac{C_v m}{R}
\]
**Diagram Explanation:**
The diagram on the right visualizes the thermal contact of the two copper pieces:
- A smaller rectangle represents the 100 g block at 300 K.
- A larger rectangle represents the 150 g block at 400 K.
- Both blocks are enclosed within a larger rectangle symbolizing the adiabatic chamber.
**Key Concepts:**
- **Adiabatic Process**: A process where no heat is transferred into or out of the system.
- **Thermal Equilibrium**: Achieved when two objects in thermal contact reach the same temperature, with no net heat flow between them.
This example illustrates the principle of energy conservation and thermal dynamics in a closed system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fed7a52-65d8-44f4-988f-6c762cda0c09%2F287c0713-32c8-4877-8de3-91e05671859a%2F8otd862_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content on Thermal Equilibrium in an Adiabatic Chamber**
**Scenario:** Two blocks of copper (Cu), one with a mass of 100 g and the other with a mass of 150 g, are placed in thermal contact inside an adiabatic chamber where no heat can escape. The 100 g piece starts at 300 K and the 150 g piece at 400 K. We aim to find the final equilibrium temperature of the system.
**Given:**
- Specific heat capacity \( C_p \) for Cu: 0.386 J/g·K
- \( q = 0 \) (adiabatic condition: heat lost by one is gained by the other)
**Formulas:**
- Final temperature \( T_f \):
\[
T_f = T_i \left(\frac{v_i}{v_f}\right)^{\frac{1}{c}}
\]
- Specific heat formula:
\[
c = \frac{C_v m}{R}
\]
**Diagram Explanation:**
The diagram on the right visualizes the thermal contact of the two copper pieces:
- A smaller rectangle represents the 100 g block at 300 K.
- A larger rectangle represents the 150 g block at 400 K.
- Both blocks are enclosed within a larger rectangle symbolizing the adiabatic chamber.
**Key Concepts:**
- **Adiabatic Process**: A process where no heat is transferred into or out of the system.
- **Thermal Equilibrium**: Achieved when two objects in thermal contact reach the same temperature, with no net heat flow between them.
This example illustrates the principle of energy conservation and thermal dynamics in a closed system.
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