An electric kitchen range has a total wall area of 1.40 m2 and is insulated with a layer of fiberglass 4.0 cm thick. the inside surface of the fiberglass has a temperature of 175 ∘c and its outside surface is at 35 ∘c. the fiberglass has a thermal conductivity of 0.040 w/(m⋅k).what is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2? what electric-power input to the heating element is required to maintain this temperature?

Heat current through the insulator=196W

Electric power= 196W

Explanation: Given: Kglass = 0.040W/m

Temperature of inside glassTi=175°C

Temperature of outside glass To= 35°C

Area=1.4m^2 , L= 4×10^-2

Heat current(H)= K ×A× (Ti - To)/L

Substituting the values into the equation

H = 0.04 × K × 1.4 ×(175-35)/4×10^-2

H= 196W.

The electric power = Heat current =196W

The electric power is the magnitude of heat current

See the answers and explanation below

Explanation:

To solve this problem, we must have the full description of this problem, by doing an internet search we can find a problem with the same description and with the respective question.

Description of the problem

"Vertically oriented circular disks have strings wrapped around them. The other ends of the strings are attached to  hanging masses. The diameters of the disks, the masses of the disks, and the masses of the hanging masses are

given. The disks are fixed and are not free to rotate. Specific values of the variables are given in the figures. Rank these situations, from greatest to least, on the basis of the magnitude of the torque on the disks. That is, put first the situation where the disk has the greatest torque acting on it and put last the situation where the disk has the least torque acting on it."

For case D

T = (20/2)*800 = 8000 [g-cm]

For case A

T = (20/2)*500 = 5000 [g-cm]

For case C

T = (10/2)*500 = 2500 [g-cm]

For case B

T = (10/2)*200 = 1000 [g-cm]

In this way it has been organized from the largest to the smallest torque present in each of the cases.