Question

Find the number of Btu conducted through a wall in 8 hours. The wall is 8 feet high by 24 feet long and has a total R-value of 16.2 hr⋅°F⋅ft2 /Btu, including the effects of the inner and outer air layers. The inside temperature is 68°F and the outside temperature is 16°F.

Answer 1

ΔQ = 4930.37 BTu

Step-by-step explanation:

given data

height h = 8ft

Δt = 8 hours

length L = 24 feet

R value = 16.2 hr⋅°F⋅ft² /Btu

inside temperature t1 = 68°F

outside temperature t2 = 16°F

to find out

number of Btu conducted

solution

we get here number of Btu conducted by this expression that s

`(\Delta Q)/(\Delta t) =(-A)/(R) (t2 -t1)` ......................1

here A is area that is = h × L = 8 × 24 = 1492 ft²

put here value we get

`(\Delta Q)/(8) =(-192)/(16.2) (16-68)`

solve it we get

ΔQ = 4930.37 BTu