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The surface of a furnace wall is at a temperature of 1350^{o}C. The outside wall temperature is 42^{o}C. The furnace wall is made of 25 cm of refractory material having a thermal conductivity of 1.4 W/m^{o}K. The outside wall is steel, 1 cm thick with thermal conductivity of 47 W/m^{o}K. Calculate the thickness in meters of brick to be installed in between the refractory material and steel if its thermal conductivity is 0.28 W/m^{o}K and the heat loss is not to exceed 750 W/m^{2}.
. A counterflow heat exchanger is designed to cool 0.65 kg/sec of oil with specific heat C_{p} = 3.4 KJ/kg^{o}K from 150^{o}C to 70^{o}C. Water for cooling, C_{p} = 4.18 KJ/kg^{o}K is available at 20^{o}C and flow rate of 0.6 kg/sec. Calculate the length of a 3.5 cm inside diameter tubing in meters. The overall coefficient of heat transfer is 90 W/m^{2 o}K.
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