Question

A uniform steel plate has an area of 0.819 m2. When subjected to a temperature difference between its sides, a heat current* of 31700 W is found to flow through it. What is the temperature gradient? What is the temperature difference when the plate is 0.0475 m thick? The thermal conductivity of steel is 50.2 W/(m·K).

Answer 1

ΔT / Δx = 771 K/m

ΔT = 771 x 0.0475 = 36.62 k

Step-by-step explanation:

P = 31700 W, A = 0.819 m^2, Δx = 0.0475 m, K = 50.2 W /m k

Use the formula of conduction of heat

H / t = K A x ΔT / Δx

So, ΔT / Δx = P / K A

ΔT / Δx = 31700 / (50.2 x 0.819)

ΔT / Δx = 771 K/m

Now

ΔT = 771 x 0.0475 = 36.62 k