1. An ideal gas expands isothermally along AB and does 720] of work (see below). PA A B C (a) How much heat does the gas exchange along AB? Is the heat absorbed by the gas or released to the surroundings? QAB = (b) The gas then expands adiabatically along BC and does 430 J of work. When the gas returns to A along CA, it exhausts 100 J of heat to its surroundings. How much work is done on the gas along the path CA? Work done on gas from C to A = (c) If the cycle below is used as an heat engine, calculate the efficiency of the cycle. e=
1. An ideal gas expands isothermally along AB and does 720] of work (see below). PA A B C (a) How much heat does the gas exchange along AB? Is the heat absorbed by the gas or released to the surroundings? QAB = (b) The gas then expands adiabatically along BC and does 430 J of work. When the gas returns to A along CA, it exhausts 100 J of heat to its surroundings. How much work is done on the gas along the path CA? Work done on gas from C to A = (c) If the cycle below is used as an heat engine, calculate the efficiency of the cycle. e=
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Topic: Thermodynamics - Ideal Gas Processes**
---
### 1. An ideal gas expands isothermally along AB and does 720 J of work (see below).
#### Diagram Explanation:
- A Pressure-Volume (p-V) diagram is shown with an ideal gas undergoing different processes.
- The diagram depicts three distinct points: A, B, and C, forming a closed cycle.
- The path from A to B is marked with an arrow indicating an isothermal expansion.
- The path from B to C suggests an adiabatic expansion.
- The path from C to A is a different thermodynamic process closing the cycle.
---
**Questions:**
**(a) How much heat does the gas exchange along AB? Is the heat absorbed by the gas or released to the surroundings?**
\[ Q_{AB} = \_\_\_\_ \ (J) \]
---
**(b) The gas then expands adiabatically along BC and does 430 J of work. When the gas returns to A along CA, it exhausts 100 J of heat to its surroundings. How much work is done on the gas along the path CA?**
\[ \text{Work done on gas from C to A} = \_\_\_\_ \ (J) \]
---
**(c) If the cycle below is used as a heat engine, calculate the efficiency of the cycle.**
\[ e = \_\_\_\_ \]
---
_Note: Consider the relationships for different thermodynamic processes to calculate the required values. For an isothermal process, the heat absorbed by the gas is equal to the work done (Q = W). For the adiabatic process, no heat is exchanged (Q = 0). The net work done in the cycle can be used to find efficiency._
---
End of Educational Module](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd88a7a9a-3f1e-4a05-9f09-8e85dfb857a6%2F3a88404e-8084-4a9a-a60a-34d50ab00ca5%2F8eir9r_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Thermodynamics - Ideal Gas Processes**
---
### 1. An ideal gas expands isothermally along AB and does 720 J of work (see below).
#### Diagram Explanation:
- A Pressure-Volume (p-V) diagram is shown with an ideal gas undergoing different processes.
- The diagram depicts three distinct points: A, B, and C, forming a closed cycle.
- The path from A to B is marked with an arrow indicating an isothermal expansion.
- The path from B to C suggests an adiabatic expansion.
- The path from C to A is a different thermodynamic process closing the cycle.
---
**Questions:**
**(a) How much heat does the gas exchange along AB? Is the heat absorbed by the gas or released to the surroundings?**
\[ Q_{AB} = \_\_\_\_ \ (J) \]
---
**(b) The gas then expands adiabatically along BC and does 430 J of work. When the gas returns to A along CA, it exhausts 100 J of heat to its surroundings. How much work is done on the gas along the path CA?**
\[ \text{Work done on gas from C to A} = \_\_\_\_ \ (J) \]
---
**(c) If the cycle below is used as a heat engine, calculate the efficiency of the cycle.**
\[ e = \_\_\_\_ \]
---
_Note: Consider the relationships for different thermodynamic processes to calculate the required values. For an isothermal process, the heat absorbed by the gas is equal to the work done (Q = W). For the adiabatic process, no heat is exchanged (Q = 0). The net work done in the cycle can be used to find efficiency._
---
End of Educational Module
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