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Answer:

13714.286 W

Explanation:

full question

A 10m×15m house is built on a 14 cm -thick concrete slab. What is the heat-loss rate through the slab if the ground temperature is 7 ∘C while the interior of the house is 23 ∘C?

solution

Given: A (10 m x 15 m) = 150 m²

L = 14 cm = 0.14 m and

ΔT = 16 ∘C

Rate of heat loss(Q/t) = KA . ΔT      (Here, K = 0.8 w/m∘C)

                                          L

Q/t = 0.8 × 150 × 16

                0.14

   = 13714.286 W

The heat-loss rate through the slab  13714.286 W.

What is heat loss rate?

The heat transferred to the surrounding by the thermal conductive substance per unit time.

A 10m×15m house is built on a 14 cm -thick concrete slab.

Area = (10 m x 15 m) = 150 m²

Length L = 14 cm = 0.14 m and

Temperature difference, ΔT = 16 ∘C

Rate of heat loss(Q/t) = KA . ΔT /L

Here, thermal conductivity K = 0.8 w/m∘C)

Substituting the values, we get

Q/t = 0.8 × 150 × 16 / 0.14

Q/t= 13714.286 W

Thus, the heat loss rate is 13714.286 W.

Learn more about heat loss rate.

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