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MMLU-Pro / 12242 / A spherical shell of cast iron having an inside radius 2.5 in. and outside…

Problem

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question

A spherical shell of cast iron having an inside radius 2.5 in. and outside radius 6 in., contains a solution which liberates heat at the rate of 0.8 × 10^5 Btu/hr. The outside surface of the shell is held at 120°F. Assuming that the steady state conditions prevail and that the thermal conductivity of the cast iron 45 Btu/hr-ft-°F remains constant, determine the temperature distribution in the shell. Find the temperature at r = 5 in.

category

engineering

options

  1. 176°F
  2. 172°F
  3. 160°F
  4. 185°F
  5. 150°F
  6. 158°F
  7. 180°F
  8. 190°F
  9. 165°F
  10. 170°F

src

stemez-TransportPhenomena

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