A hollow spherical conducting shell of inner radius R 1 = 0.25 m and outer radius R 2 = 0.50 m is placed inside a heat reservoir of temperature T 0 = 1000 ºC. The shell is initially filled with water at 0ºC. The thermal conductivity of the material is k =
W/m-K and its heat capacity is negligible. The time required to raise the temperature of water to 100ºC is 1100 K λ n
sec. Find K. Take specific heat of water s = 4.2 kJ/kg.°C, density of water d w = 1000 kg/m 3 , π = 

Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(5)
For any general moment 1000ºC.

i H =
= 
where R eq =
= 
R eq =
= 
Now, mass of water inside cavity
M = ρ ×
π R 1 3
= MS
=
(dθ = dT)
= 
t = R eq MS × 
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