A spherical vessel, 3.0 m in diameter (and negligible wall thickness), is used for storing a fluid at a temperature of 0°C. The vessel is covered with a 5.0-cm-thick layer of an insulation (k = 0.20 W/m·K). The surrounding air is at 22°C. The inside and outside heat transfer coefficients are 40 and 10 W/m2·K, respectively. Calculate (a) all thermal resistances, in K/W, (b) the steady rate of heat transfer, and (c) the temperature difference across the insulation layer.

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A spherical vessel, 3.0 m in diameter (and negligible
wall thickness), is used for storing a fluid at a temperature
of 0°C. The vessel is covered with a 5.0-cm-thick layer of an
insulation (k = 0.20 W/m·K). The surrounding air is at 22°C. The inside and outside heat transfer coefficients are 40 and
10 W/m2·K, respectively. Calculate (a) all thermal resistances,
in K/W, (b) the steady rate of heat transfer, and (c) the
temperature difference across the insulation layer.

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