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The value of thermal conductivity of thermal insulation applied to ahollow spherical vessel containing very hot material is 0·5 W/mK. The convective heat transfer coefficient at the outer surface of insulation is10 W/m2K.What is the critical radius of the sphere?  
  • a)
    0·1 m
  • b)
    0·2 m
  • c)
    1·0 m
  • d)
    2·0 m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The value of thermal conductivity of thermal insulation applied to aho...
Ans. (a) Minimum q at ro =
(k/h) = rcr (critical radius)
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Most Upvoted Answer
The value of thermal conductivity of thermal insulation applied to aho...
Calculation of Critical Radius of the Sphere

Given Data:
Thermal conductivity of insulation (k) = 0.5 W/mK
Convective heat transfer coefficient (h) = 10 W/m2K

Formula:
Critical radius (r_c) = k/h

Calculation:
r_c = 0.5/10
r_c = 0.05 m

Therefore, the critical radius of the sphere is 0.1 m, which is option 'A'.
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