A heat pump can operate at steady state between a dwelling at 70°F and the outdoor air at 32°F, a pond at 40°F, and the ground at 55°F. The heat transfer through the walls and roof of a dwelling is 6.5 x 10 5 Btu/day. [1 hp = 2545 Btu/hr] %3D Assume [3]: ŋMax [TH,Tc] = BMax [TH,Tc] =. YMax [TH,Tc] =

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Heat Pump Problem Set**

A heat pump can operate at steady state between a dwelling at 70°F and the outdoor air at 32°F, a pond at 40°F, and the ground at 55°F. The heat transfer through the walls and roof of a dwelling is \(6.5 \times 10^5\) Btu/day. \([1 \text{ hp} = 2545 \text{ Btu/hr}]\)

**Assumptions:**
- \(\eta_{\text{Max}} [T_H, T_C] =\) ___________
- \(\beta_{\text{Max}} [T_H, T_C] =\) ___________
- \(\gamma_{\text{Max}} [T_H, T_C] =\) ___________

1. The maximum coefficient of performance \(\gamma_{\text{Carnot}}\) for the cycle is approximately:
   - a. 13.95
   - b. 17.67
   - c. 35.33
   - d. none of the above.

2. The heat transfer from the dwelling to the outside air is equal to:
   - a. \(Q_C\)
   - b. \(Q_H\)
   - c. \(Q_{\text{Net}}\)
   - d. none of the above.

3. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the outside air is equal to:
   - a. 0.76
   - b. 0.60
   - c. 0.30
   - d. none of the above.

4. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the pond is equal to:
   - a. 0.30
   - b. 0.76
   - c. 0.60
   - d. none of the above.

5. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the ground is equal to:
   - a. 0.60
   - b. 0.30
   - c. 0.76
   - d. none of the above.
Transcribed Image Text:**Heat Pump Problem Set** A heat pump can operate at steady state between a dwelling at 70°F and the outdoor air at 32°F, a pond at 40°F, and the ground at 55°F. The heat transfer through the walls and roof of a dwelling is \(6.5 \times 10^5\) Btu/day. \([1 \text{ hp} = 2545 \text{ Btu/hr}]\) **Assumptions:** - \(\eta_{\text{Max}} [T_H, T_C] =\) ___________ - \(\beta_{\text{Max}} [T_H, T_C] =\) ___________ - \(\gamma_{\text{Max}} [T_H, T_C] =\) ___________ 1. The maximum coefficient of performance \(\gamma_{\text{Carnot}}\) for the cycle is approximately: - a. 13.95 - b. 17.67 - c. 35.33 - d. none of the above. 2. The heat transfer from the dwelling to the outside air is equal to: - a. \(Q_C\) - b. \(Q_H\) - c. \(Q_{\text{Net}}\) - d. none of the above. 3. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the outside air is equal to: - a. 0.76 - b. 0.60 - c. 0.30 - d. none of the above. 4. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the pond is equal to: - a. 0.30 - b. 0.76 - c. 0.60 - d. none of the above. 5. The *minimum theoretical power* \([\text{hp}]\) required to drive a heat pump for heat transfer to the dwelling from the ground is equal to: - a. 0.60 - b. 0.30 - c. 0.76 - d. none of the above.
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