Consider a 4.45-m × 4.45-m × 4.45-m cubical furnace whose floor and ceiling are black and whose side surfaces are reradiating. the floor and the ceiling of the furnace are maintained at temperatures of 547 k and 1100 k, respectively. determine the net rate of radiation heat transfer between the floor and the ceiling of the furnace. (given: the view factor from the ceiling to the floor of the furnace f12 = 0.2, σ = 5.67 × 10-8.)

-1543371.65837 W

= - 1543.372 kW.

Explanation:

Using the equation;

Q= EσA -------------------------------------------------------------------------------------------(1).

Where Q= net rate of radiation heat transfer between the floor and the ceiling of the furnace, σ = Boltzmann's constant, A= area of the cube, E = emissitivity.

Recall that the emissitivity of a black body is equals to one(1).

From the question, the parameters given are; The view factor from the ceiling to the floor of the furnace,F12 = 0.2, σ = 5.67 × 10-8., A= (4.45×4.45) m.

Slotting in the parameters into the equation;

Q= EσA[T(2)^4 - (T(1)^4] ---------------------------------------------------------------------(2).

Therefore, Q= (1)× (5.67×10^-8) × (4.45×4.45) m × [(547)^4 - (1100)^4]

= 0.0000011228 × (89526025681 - 1.4641×10^12).

= 0.0000011228×(-1.374574×10^12)

= -1543371.65837 W

= -1543.372 kW.

answer:

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the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only