A thin walled metal tank of surfac...
Question
 A thin walled metal tank of surface area 5m^2 is filled with water and contains an immersion dissipating 1 kW. The tank is covered with 4cm thick layer of insulatio
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A thin walled metal tank of surface area ( 5 mathrm{m}^{2} ) is filled with water and contains an immersion dissipating 1 ( mathrm{kW} ). The tank is covered with ( 4 mathrm{cm} ) thick layer of insulation whose thermal conductival is ( 0.2 mathrm{W} / mathrm{m} / mathrm{K} ). The outer face of the insulation is ( 25^{circ} mathrm{C} ). Find the temperature of the tank in the state

JEE/Engineering Exams
Physics
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 A thin walled metal tank of surface area 5m^2 is filled with water and contains an immersion dissipating 1 kW. The tank is covered with 4cm thick layer of insulation whose thermal conductival is 0.2W/m/K. The outer face of the insulation is 25∘C. Find the temperature of the tank in the state
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[
T_{i=?} quad T_{0}=298 mathrm{K}
]
(1) Rate of Heet pracusfin is giver by fourier ( varepsilon q^{4} ).
( therefore e_{i} frac{d Q}{d t}=frac{-k A d T}{d x} sigma_{i} )
( k= ) the mol conductivity
DT temperatur difforcin
( A= ) Area
( Rightarrow B )
( d x= ) thickness ( So: frac{d Q}{d t}=frac{0.2 times 5(T-25)}{0.04} )
( Rightarrow quad 1000=frac{0.2 times 5 times(T-.25)}{0.04}[because power frac{dδ}{dt})]
[
Rightarrow {T}=65^{circ} mathrm{C}
]

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