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A hollow pipe of 1 cm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity 1 W/mK. The surface heat transfer coefficient on the insulation surface is 5 W/m²K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?
  • a)
    10 cm
  • b)
    15 cm
  • c)
    19.5 cm
  • d)
    20 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A hollow pipe of 1 cm outer diameter is to be insulated by thick cyli...
rc = k/h = ⅕ = 20 cm
Thickness = 20 cm - 0.5 cm = 19.5 cm
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Most Upvoted Answer
A hollow pipe of 1 cm outer diameter is to be insulated by thick cyli...
Given data:
- Outer diameter of pipe = 1 cm
- Thermal conductivity of insulation = 1 W/mK
- Surface heat transfer coefficient = 5 W/m²K

Calculation:
To determine the minimum effective thickness of insulation required to reduce heat leakage from the insulated pipe, we can use the concept of thermal resistance.

Thermal resistance of insulation (R_ins) = Thickness of insulation / (Thermal conductivity * Surface area)
Surface area = 2 * π * radius * length

Thermal resistance of insulation (R_ins) = Thickness of insulation / (Thermal conductivity * 2 * π * radius * length)

Overall heat transfer coefficient (U) = 1 / (R_ins + 1 / Surface heat transfer coefficient)

Given U = 5 W/m²K
5 = 1 / (R_ins + 1 / 5)

Solving the above equation, we get:
R_ins = 19.5 cm
Therefore, the minimum effective thickness of insulation required for causing the reduction in heat leakage from the insulated pipe is 19.5 cm. Hence, the correct answer is option C.
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A hollow pipe of 1 cm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity 1 W/mK. The surface heat transfer coefficient on the insulation surface is 5 W/m²K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?a)10 cmb)15 cmc)19.5 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
A hollow pipe of 1 cm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity 1 W/mK. The surface heat transfer coefficient on the insulation surface is 5 W/m²K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?a)10 cmb)15 cmc)19.5 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A hollow pipe of 1 cm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity 1 W/mK. The surface heat transfer coefficient on the insulation surface is 5 W/m²K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?a)10 cmb)15 cmc)19.5 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hollow pipe of 1 cm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity 1 W/mK. The surface heat transfer coefficient on the insulation surface is 5 W/m²K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?a)10 cmb)15 cmc)19.5 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer?.
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