A steel frame (K = 45 W m−1°C−1) of total length 60 cm and cross sectional area 0.20 cm2, forms three sides of a square. The free ends are maintained at 20°C and 40°C. Find the rate of heat flow through a cross section of the frame.
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Answer:
thermal conductivity,K=45Wm⁻¹°c⁻¹
length,l=60cm=0.6m
area of cross section ,A=0.2cm²=0.2*10⁻⁴m²
initial temperatureT₁=40°c
final temperatureT₂=20°c
rate if flow of heat = Temperature differences/Thermal resistance
ΔΘ/Δt=ΚΑ(T₁₋T₂)/∫
ΔΘ/Δt=45*0.2*10⁻⁴(40-20)/0.6
=0.03W
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