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2 - 2 : A certain superinsulation material having a thermal conductivity of 2 x 1 0 - 4 W / m C is used

2-2: A certain superinsulation material having a thermal conductivity of 2 x 10-4
W/m C is used to insulate a tank of liquid nitrogen that is maintained at -196C;
199kJ is required to vaporize each kilogram mass of nitrogen at this temperature.
Assuming that the tank is a sphere having an inner diameter (ID) of 0.52 m, estimate
the amount of vaporized nitrogen per day for an insulation of thickness of 2.5 cm
and an ambient temperature of 21C. Assume that the outer temperature of the
insulation is 21C and that the heat of vaporization of the nitrogen is not a function
of temperature. Since the tanks diameter is large compared to its thickness, treat
the wall as planar with the appropriate area.

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