Question: Spheres A and B are initially at 800 K, and they are simultaneously quenched in large constant temperature baths, each having a temperature of 320

Spheres A and B are initially at 800 K, and they are simultaneously quenched in large constant temperature baths, each having a temperature of 320 K. The following parameters are associated with each of the spheres and their cooling processes.

Sphere A Sphere B Diameter (mm) 300 30 Density (kg/m³) Specific heat (kJ/kg · K) Thermal conductivity (W/m • K) Conv

(a) Show in a qualitative manner on T versus t coordinates, the temperatures at the center and at the surface for each sphere as a function of time. Briefly explain the reasoning by which you determine the relative positions of the curves.

(b) Calculate the time required for the surface of each sphere to reach 415 K.

Sphere A Sphere B Diameter (mm) 300 30 Density (kg/m) Specific heat (kJ/kg K) Thermal conductivity (W/m K) Convection coefficient (W/m- K) 400 1600 0.400 1.60 170 1.70 5 50

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