Chilled water enters a thin-shelled. 4-cm-diameter, 200-m-long pipe at 7°C at a rate of 0.98 kg/s and leaves at 8°C. The pipe is exposed to ambient air at 30°C with a heat transfer coefficient of 9 W/m2∙ K. If the pipe is to be insulated with glass wool insulation (k= 0.05 W/m ∙ K) in order to decrease the temperature rise of water to 0.25°C, determine the required thickness of the insulation.
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