The heat pump cycle shown in the figure below operates at steady state and provides energy by heat transfer at a rate of 15 kW to maintain a dwelling at 22°C when the outside temperature is Toutside = 5°C. The manufacturer claims that the power input required for this operating condition is W cycle = 4 kW. QH=15 kW 0 = i Is this cycle possible? Tinside = 22°C kW/K Heat pump cycle Toutside W Applying energy and entropy rate balances determine the rate of entropy production, in kW/K. cycle

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Heat Pump Cycle Analysis

#### Description:
The heat pump cycle depicted in the figure operates at a steady state and provides energy by heat transfer at a rate of 15 kW to maintain a dwelling at 22°C when the outside temperature is 5°C. The manufacturer claims that the power input required for this operating condition is 4 kW.

#### Diagram Explanation:
- **House Interior Temperature (\( T_{\text{inside}} \)):** 22°C
- **Outside Temperature (\( T_{\text{outside}} \)):** 5°C
- **Heat Transfer Rate to Maintain Temperature (\( \dot{Q}_H \)):** 15 kW
- **Power Input for Heat Pump Cycle (\( \dot{W}_{\text{cycle}} \)):** 4 kW

In the diagram:
- The inside of the house is maintained at 22°C.
- The outside temperature is 5°C.
- The heat pump cycle receives power (\( \dot{W}_{\text{cycle}} \)) and provides heat to the inside (\( \dot{Q}_H = 15 \, \text{kW} \)).

- The heat pump extracts energy from the outside (\( \dot{Q}_C \)).

#### Objective:
Applying energy and entropy rate balances, determine the rate of entropy production in kW/K.

#### Calculation:
Entropy Production Rate (σ):
\[ \sigma = \, \boxed{kW/K} \]

#### Question:
Is this cycle possible?
- **Options:** Yes / No

Please input your answer in the space provided and select Yes or No to determine if the cycle is theoretically feasible based on the given parameters and balances.
Transcribed Image Text:### Heat Pump Cycle Analysis #### Description: The heat pump cycle depicted in the figure operates at a steady state and provides energy by heat transfer at a rate of 15 kW to maintain a dwelling at 22°C when the outside temperature is 5°C. The manufacturer claims that the power input required for this operating condition is 4 kW. #### Diagram Explanation: - **House Interior Temperature (\( T_{\text{inside}} \)):** 22°C - **Outside Temperature (\( T_{\text{outside}} \)):** 5°C - **Heat Transfer Rate to Maintain Temperature (\( \dot{Q}_H \)):** 15 kW - **Power Input for Heat Pump Cycle (\( \dot{W}_{\text{cycle}} \)):** 4 kW In the diagram: - The inside of the house is maintained at 22°C. - The outside temperature is 5°C. - The heat pump cycle receives power (\( \dot{W}_{\text{cycle}} \)) and provides heat to the inside (\( \dot{Q}_H = 15 \, \text{kW} \)). - The heat pump extracts energy from the outside (\( \dot{Q}_C \)). #### Objective: Applying energy and entropy rate balances, determine the rate of entropy production in kW/K. #### Calculation: Entropy Production Rate (σ): \[ \sigma = \, \boxed{kW/K} \] #### Question: Is this cycle possible? - **Options:** Yes / No Please input your answer in the space provided and select Yes or No to determine if the cycle is theoretically feasible based on the given parameters and balances.
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