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A 0.8 mm diameter nickel- alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) is
Given data:
Convective heat transfer coefficient = 500 W/mK
Specific heat of fluid = 350 J/kgK
Density of thermocouple material = 9500 Kg/m3
  • a)
    0.58
  • b)
    0.64
Correct answer is between '0.58,0.64'. Can you explain this answer?
Verified Answer
A 0.8 mm diameter nickel- alumel thermocouple is used to measure the ...
Given, d = 0.8mm, h = 500W/mK,C = 350J/kgK, ρ = 9500Kg/m3
The sensitivity of the thermocouple is the time required by a thermocouple to reach 63.2% of the initial temperature difference. I.e.,
T−T∞ = 0.632(T0 − T∞)(1)
Using Lumped capacity method, T − T∞ = (T0−T)e(−hA/ρCV)t
From (i) 0.632 (To−T) = (To−T)e(−hA/ρcv)t
From (ii) 0.752t = 0.4588
t = 0.61s
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A 0.8 mm diameter nickel- alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) isGiven data:Convective heat transfer coefficient = 500 W/mKSpecific heat of fluid = 350 J/kgKDensity of thermocouple material = 9500 Kg/m3a)0.58b)0.64Correct answer is between '0.58,0.64'. Can you explain this answer?
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A 0.8 mm diameter nickel- alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) isGiven data:Convective heat transfer coefficient = 500 W/mKSpecific heat of fluid = 350 J/kgKDensity of thermocouple material = 9500 Kg/m3a)0.58b)0.64Correct answer is between '0.58,0.64'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 0.8 mm diameter nickel- alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) isGiven data:Convective heat transfer coefficient = 500 W/mKSpecific heat of fluid = 350 J/kgKDensity of thermocouple material = 9500 Kg/m3a)0.58b)0.64Correct answer is between '0.58,0.64'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 0.8 mm diameter nickel- alumel thermocouple is used to measure the temperature difference of a fluid. The sensitivity of the thermocouple (in s) isGiven data:Convective heat transfer coefficient = 500 W/mKSpecific heat of fluid = 350 J/kgKDensity of thermocouple material = 9500 Kg/m3a)0.58b)0.64Correct answer is between '0.58,0.64'. Can you explain this answer?.
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