An aluminum sphere, 5.0 cm in diameter, is initially at a uniform temperature of 50C. It is

An aluminum sphere, 5.0 cm in diameter, is initially at a uniform temperature of 50ºC. It is suddenly exposed to an outer-space radiation environment at 0 K (no convection). Assuming the surface of aluminum is blackened and lumped-capacity analysis applies, calculate the time required for the temperature of the sphere to drop to −110ºC.