A uniform steel plate has an area of 0.897 m^2. When subjected to a temperature difference between its sides, a heat current of 27700 W is found to flow h it. What is the temperature gradient? What is the temperature difference when the plate is 0.0537 m thick? The thermal conductivity of steel is 50.2 W / (m K).

Question

Maximus Stewart

Physics

20 September, 23:20

A uniform steel plate has an area of 0.897 m^2. When subjected to a temperature difference between its sides, a heat current of 27700 W is found to flow h it. What is the temperature gradient? What is the temperature difference when the plate is 0.0537 m thick? The thermal conductivity of steel is 50.2 W / (m K).

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Answers (1)

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Monica Jennings · Answer 1

615.15 K/m

33 K

Explanation:

A = 0.897 m^2, Heat per second = 27700 W, ΔT/Δx = ?, Δx = 0.0537 m

K = 50.2 W/mK

heat per second = K x A x ΔT/Δx

27700 = 50.2 x 0.897 x ΔT/Δx

ΔT/Δx = 615.15 K/m

Now ΔT = ΔT/Δx x Δx

ΔT = 615.15 x 0.0537 = 33 K