A 0.6-m-diameter, 1.9-m-long cylindrical tank containing liquefied natural gas (LNG) at - 160°C is placed at the center of a 1.9-m-long 1.4-m × 1.4-m square solid bar made of an insulating material with k = 0.0002 W/m · °C. If the outer surface temperature of the bar is 12°C, determine the rate of heat transfer to the tank. Also, determine the LNG temperature after one month. Take the density and the specific heat of LNG to be 425 kg/m3 and 3.475 kJ/kg · °C, respectively.
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