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Q#1 GATE CH 2021 NAT +2 marks -0.66 marks

Consider a solid slab of thickness 2L and uniform cross section A. The volumetric rate of heat generation within the slab is 𝒈̇ (W m–3). The slab loses heat by convection at both the ends to air with heat transfer coefficient h. Assuming steady state, one-dimensional heat transfer, the temperature profile within the slab along the thickness is given by:

         

where k is the thermal conductivity of the slab and 𝑻𝒔 is the surface temperature. If 𝑻𝒔 = 𝟑𝟓𝟎 K, ambient air temperature 𝑻∞ = 𝟑𝟎𝟎 𝐊, and Biot number (based on L as the characteristic length) is 0.5, the maximum temperature in the slab is________________K (round off to nearest integer).

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Browse Practice Questions by Chapters / Topics in Browse Practice Questions by Chapters / Topics in GATE Chemical Engineering
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Topic Questions Attempted Correct
Heat Transfer 26 0 0
Chemical Technology 17 0 0
Mechanical Operations 12 0 0
Mass Transfer 42 0 0
Instrumentation and Process Control 26 0 0
Fluid Mechanics 24 0 0
Engineering Mathematics 41 0 0
General Aptitude 60 0 0
Chemical Reaction Engineering 26 0 0
Process Calculation 9 0 0
Plant Design Economics 10 0 0
Thermodynamics 24 0 0
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