A spherical container, with an inner radius of 1 m and a wall thickness of 5 mm, has its inner surface subjected to a uniform heat flux of 7 kW/m². The outer surface of the container is maintained at 20°C. The container wall is made of a material with a thermal conductivity given as k(T) = k₀ (1 + βT), where k₀ = 1.33 W/m ∙ K, β = 0.0023 K⁻¹, and T is in K. Determine the temperature drop across the container wall thickness.

Transcribed Image Text:

T₂ T₁ q Spherical container K(T) = ko(1+BT)