A hollow metallic sphere of radius 20 cm surrounds a concentric metallic sphere of radius 5 cm. The space between the two spheres is filled with a nonmetallic material. The inner and outer spheres are maintained at 50°C and 10°C respectively and it is found that 160 π Joule of heat passes radially from the inner sphere to the outer sphere per second. Find the thermal conductivity of the material between the spheres.
Text Solution
Verified by Experts(15 W/m–°C)
T 1 = 50ºC Choose a element of width dr
T 2 = 10ºC at a Radial distance r
dR = 
R eq = 
= 
= 
= 
× 
= 
= 
i = 160 π = 40 
K = 
= 15
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