   Chapter 11, Problem 49P ### Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
ISBN: 9781305084766

#### Solutions

Chapter
Section ### Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
ISBN: 9781305084766
Textbook Problem

# For a building located in Detroit, Michigan with annual heating degree-days (dd) of 6232, a heating load (heat loss) of 52,000 Btu/h, and a design temperature difference of 73° F (68° F indoor and –5° F outdoor), estimate the annual energy consumption. If the building is heated with a furnace with an efficiency of 92%, how much gas is burned to keep the home at 68° F. State your assumptions.

To determine

Estimate the annual energy consumption and also determine the volume of gas required to keep the home at 68°F.

Explanation

Given data:

Heat loss is 52000Btuh.

Design temperature difference is 73°F.

Annual degree-days is 6232DDyear.

Efficiency of the furnace is 92%.

Formula used:

The expression to find the per day energy consumption to heat a building is,

QDD=Heatloss(Btuh)×24(hrsday)DesignTemperatureDifference(°F) (1)

The expression to find the annual energy consumption to heat a building is,

Qyearly=(QDD)(AnnualDegree-Days) (2)

Calculation:

Degree-days are used to calculate the monthly and annual energy consumption to heat a building.

Substitute 52000Btuh for Heatloss, and 73°F for Design temperature difference in equation (1) to find QDD,

QDD=52000(Btuh)×24(hday)73°F=17096BtuDD

Substitute 17096BtuDD for QDD, and 6232DDyear for Annual degree-days in equation (2) to find Qyearly,

Qyearly=(17096BtuDD)(6232DDyear)=106

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