(1) Explanation Given info: The length of the window is 5.0 ft , the breadth of the window is 2. 5 ft , number of windows is 10 , the rate at which four windows admit energy is 30 Btu / h ⋅ ft 2 , R factor is 0.90 , heat energy produced for every gallon of oil is 100 , 000 Btu and cost per gallon oil is $ 3.48 . Explanation: Write the expression for the rate of heat loss through the thermal conductors. H = − k A Δ T Δ x Here, H is the rate of heat loss through the thermal conductor k is the thermal conductivity of thermal conductor A is the area of the conductor Δ T is the temperature difference between two ends of the conductor Δ x is the thickness of the thermal conductor Substitute R for Δ x k in the above equation to get H H = − A Δ T R (1) Here, R is the R -factor of the conductor Write the expression for the window area. A = ( l b ) Here, l is the length of the window b is the breadth of the window Substitute 5.0 ft for l and 2. 5 ft for b in above equation to get A . A = ( 5.0 ft × 2. 5 ft ) = 12.5 ft 2 Then area of 10 windows equal to 10 × 12.5 ft 2 = 125 ft 2 . Total area of the walls is 1506 ft 2 . Area of the wall excluding windows is 1506 ft 2 − 125 ft 2 = 1381 ft 2 . Substitute 1381 ft 2 for A , 50 ° F for Δ T and 1 12.37 Btu h ⋅ ft 2 ⋅ ° F for 1 R in the equation (1) to get H walls . H walls = 1 12.37 Btu h ⋅ ft 2 ⋅ ° F ( 1381 ft 2 ) ( 50 ° F ) = 5583 Btu / h Here, H walls is the rate at which heat flows through walls of the house Area of one window is Substitute 1164 ft 2 for A , 50 ° F for Δ T and 1 31.37 Btu h ⋅ ft 2 ⋅ ° F for 1 R in the equation (1) to get H roof . H roof = 1 31.37 Btu h ⋅ ft 2 ⋅ ° F ( 1164 ft 2 ) ( 50 ° F ) = 1855 Btu / h Here, H roof is the rate at which heat flows through roof of the house In the case of windows, four windows admit solar energy at the rate of 30 Btu / h ⋅ ft 2 (b) To determine The solar gain from the south windows.

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ISBN: 9780135272992

Author: Wolfson

Publisher: VST

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Chapter 16, Problem 71P

(1)

To determine

The total heating cost per month.

(b)

To determine

The solar gain from the south windows.

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Chapter 16, Problem 70P

Chapter 16, Problem 72P

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The total heating cost per month.

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The total heating cost per month.

The solar gain from the south windows.

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