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 ExpertsCHECK THE SOLUTION.
(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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