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A heat pump is required for a single-family 2-story, 3-person, 30 ft x 30 ft x 18 ft (L x W x H), energy- efficient residential house in Philadelphia, PA, for a typical winter season. Assuming a comfortable indoor temperature is 70 °F and on a cold winter day the outdoor temperature is 10 °F. ● Exercise #1: Calculate total heat loss from a house in Philadelphia on a cold winter day. Assume 40% of the wall area is windows with U-value of 0.81 BTU/hr-ft²-°F. The remaining 60% of the walls has a U-value of 0.2 BTU/hr-ft²-°F. The roof has a U value of 0.05 BTU/hr-ft²-°F and the floor U-value is 0.41 BTU/hr-ft2-°F. For simplicity assume that the ground temperature is the same as the air temperature. [However, in your project design calculations you should refine this assumption.] Assume 0.5 air changes per hour (ACH) due to natural ventilation, such as leakage through windows, etc. Neglect any radiative heat loss/grain from the house. Exercise #2: Determine the watts of electricity needed by the heat pump for a COP of 2 on a cold winter day temperature of 10 °F. Also determine the rated capacity of the heat pump assuming it has a COP of 3.5 at the rating temperature of 47°F.

A heat pump is required for a single-family 2-story, 3-person, 30 ft x 30 ft x 18 ft (L x W x H), energy- efficient residential house in Philadelphia, PA, for a typical winter season. Assuming a comfortable indoor temperature is 70 °F and on a cold winter day the outdoor temperature is 10 °F. ● Exercise #1: Calculate total heat loss from a house in Philadelphia on a cold winter day. Assume 40% of the wall area is windows with U-value of 0.81 BTU/hr-ft²-°F. The remaining 60% of the walls has a U-value of 0.2 BTU/hr-ft²-°F. The roof has a U value of 0.05 BTU/hr-ft²-°F and the floor U-value is 0.41 BTU/hr-ft2-°F. For simplicity assume that the ground temperature is the same as the air temperature. [However, in your project design calculations you should refine this assumption.] Assume 0.5 air changes per hour (ACH) due to natural ventilation, such as leakage through windows, etc. Neglect any radiative heat loss/grain from the house. Exercise #2: Determine the watts of electricity needed by the heat pump for a COP of 2 on a cold winter day temperature of 10 °F. Also determine the rated capacity of the heat pump assuming it has a COP of 3.5 at the rating temperature of 47°F.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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A heat pump is required for a single-family 2-story, 3-person, 30 ft x 30 ft x 18 ft (L x W x H), energy- efficient residential house in Philadelphia, PA, for a typical winter season. Assuming a comfortable indoor temperature is 70 °F and on a cold winter day the outdoor temperature is 10 °F. Exercise #1: Calculate total heat loss from a house in Philadelphia on a cold winter day. Assume 40% of the wall area is windows with U-value of 0.81 BTU/hr-ft²-°F. The remaining 60% of the walls has a U-value of 0.2 BTU/hr-ft²-°F. The roof has a U value of 0.05 BTU/hr-ft?-°F and the floor U-value is 0.41 BTU/hr-ft²-°F. For simplicity assume that the ground temperature is the same as the air temperature. [However, in your project design calculations you should refine this assumption.] Assume 0.5 air changes per hour (ACH) due to natural ventilation, such as leakage through windows, etc. Neglect any radiative heat loss/grain from the house. Exercise #2: Determine the watts of electricity needed by the heat pump for a COP of 2 on a cold winter day temperature of 10 °F. Also determine the rated capacity of the heat pump assuming it has a COP of 3.5 at the rating temperature of 47°F.
Transcribed Image Text:A heat pump is required for a single-family 2-story, 3-person, 30 ft x 30 ft x 18 ft (L x W x H), energy- efficient residential house in Philadelphia, PA, for a typical winter season. Assuming a comfortable indoor temperature is 70 °F and on a cold winter day the outdoor temperature is 10 °F. Exercise #1: Calculate total heat loss from a house in Philadelphia on a cold winter day. Assume 40% of the wall area is windows with U-value of 0.81 BTU/hr-ft²-°F. The remaining 60% of the walls has a U-value of 0.2 BTU/hr-ft²-°F. The roof has a U value of 0.05 BTU/hr-ft?-°F and the floor U-value is 0.41 BTU/hr-ft²-°F. For simplicity assume that the ground temperature is the same as the air temperature. [However, in your project design calculations you should refine this assumption.] Assume 0.5 air changes per hour (ACH) due to natural ventilation, such as leakage through windows, etc. Neglect any radiative heat loss/grain from the house. Exercise #2: Determine the watts of electricity needed by the heat pump for a COP of 2 on a cold winter day temperature of 10 °F. Also determine the rated capacity of the heat pump assuming it has a COP of 3.5 at the rating temperature of 47°F.
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