Question

An air-conditioned room that stands on a well-ventilated basement measures 3 m wide, 3 m high and 6 m deep. One of the two 3 m walls faces west and contains a double-glazed glass window of size 1.5 m by 1.5 m , mounted flush with the wall with no external shading. There are no heat gains through the walls other than the one facing west. Calculate a. the sensible, latent and total heat gains on the room, b. room sensible heat factor from the following information. c. What is the required cooling capacity? Inside conditions: 25\deg C dry bulb, 50 percent RH Outside conditions: 43\deg C dry bulb, 24\deg C wet bulb U-value for wall: 1.78(W)/(m^(2)).K U-value for roof : 1.316(W)/(m^(2)).K U-value for floor : 1.2(W)/(m^(2)). K Effective Temp. Difference (ETD) for wall: 25\deg C Effective Temp. Difference (ETD) for roof: 30\deg C U-value for glass ; 3.12( W)/(m^(2.))K Solar Heat Gain (SHG) of glass; 300(W)/(m^(2)) Internal Shading Coefficient (SC) of glass: 0.86 Occupancy: 4 ( 90 W sensible hea(t)/(p)erson) ( 40 W latent hea(t)/(p)erson) Lighting load: 33(W)/(m^(2)) of floor area

          An air-conditioned room that stands on a well-ventilated basement measures 3 m wide,
3 m high and 6 m deep.
One of the two 3 m walls faces west and contains a double-glazed glass window of size
1.5 m by 1.5 m , mounted flush with the wall with no external shading.
There are no heat gains through the walls other than the one facing west.
Calculate
a. the sensible, latent and total heat gains on the room,
b. room sensible heat factor from the following information.
c. What is the required cooling capacity?
Inside conditions: 25\deg C dry bulb, 50 percent RH
Outside conditions: 43\deg C dry bulb, 24\deg C wet bulb
U-value for wall: 1.78(W)/(m^(2)).K
U-value for roof : 1.316(W)/(m^(2)).K
U-value for floor : 1.2(W)/(m^(2)). K
Effective Temp. Difference (ETD) for wall: 25\deg C
Effective Temp. Difference (ETD) for roof: 30\deg C
U-value for glass ; 3.12( W)/(m^(2.))K
Solar Heat Gain (SHG) of glass; 300(W)/(m^(2))
Internal Shading Coefficient (SC) of glass: 0.86
Occupancy: 4 ( 90 W sensible hea(t)/(p)erson) ( 40 W latent hea(t)/(p)erson)
Lighting load: 33(W)/(m^(2)) of floor area

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an air conditioned room that stands on a well ventilated basement measures 3 m wide 3 m high and 6 m deep one of the two 3 m walls faces west and contains a double glazed glass window of siz 54191

Added by Andrea M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Supreeta N

08/23/2023

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An air-conditioned room that stands on a well-ventilated basement measures 3 m wide, 3 m high and 6 m deep. 2. One of the two 3 m walls faces west and contains a double-glazed glass window of size 1.5 m by 1.5 m, mounted flush with the wall with no external Show more…

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An air-conditioned room that stands on a well-ventilated basement measures 3 m wide, 3 m high and 6 m deep. One of the two 3 m walls faces west and contains a double-glazed glass window of size 1.5 m by 1.5 m , mounted flush with the wall with no external shading. There are no heat gains through the walls other than the one facing west. Calculate a. the sensible, latent and total heat gains on the room, b. room sensible heat factor from the following information. c. What is the required cooling capacity? Inside conditions: 25\deg C dry bulb, 50 percent RH Outside conditions: 43\deg C dry bulb, 24\deg C wet bulb U-value for wall: 1.78(W)/(m^(2)).K U-value for roof : 1.316(W)/(m^(2)).K U-value for floor : 1.2(W)/(m^(2)). K Effective Temp. Difference (ETD) for wall: 25\deg C Effective Temp. Difference (ETD) for roof: 30\deg C U-value for glass ; 3.12( W)/(m^(2.))K Solar Heat Gain (SHG) of glass; 300(W)/(m^(2)) Internal Shading Coefficient (SC) of glass: 0.86 Occupancy: 4 ( 90 W sensible hea(t)/(p)erson) ( 40 W latent hea(t)/(p)erson) Lighting load: 33(W)/(m^(2)) of floor area

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00:01 Hello students, in this question, height of the wall h is equal to 27 meters, width of the wall w is equal to 18 meters, inside temperature is equal to 24 degree celsius and outside temperature is equal to 40 degree celsius.

00:19 First we have to find the building cooling load from the south wall.

00:24 We know that u wall is equal to 1 .4 watt per meter square.

00:30 So the cooling load q will be equal to u wall into h into w into t naught minus t i.

00:44 Substituting we get 1 .4 into 27 into 18 into 40 minus 24.

00:54 So cooling load from the south wall will be equal to 10 .886 kilowatt.

01:04 Next we have to find the cooling load from the window.

01:07 We know that area of the window is equal to 3 into 1 .5.

01:17 This will be equal to 4 .5 meter square.

01:22 Number of window is equal to 2.

01:24 Heat transfer coefficient of the window will be equal to 3 .5 watt per meter square.

01:33 Emissivity of the window mu is equal to 0 .7.

01:37 So the cooling load from the window q is equal to ug into area of the window into mu into n into t naught minus t i.

01:52 Substituting the values we get 3 .5 into 4 .5 into 0 .7 into 2 into 40 minus 24.

02:06 So the cooling load from the glass window q is equal to 352 .8 watts.

02:14 For the third part of the question we have to find the cooling load from lighting.

02:19 Then the lighting load is given as w is equal to 20 watt per meter square.

02:30 Area is given as 27 into 4.

02:33 This will be equal to 108 meter square.

02:37 So the net load wn is equal to 20 into 108.

02:42 This will be equal to 2160 watts.

02:47 Clf is equal to 0 .75...

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