A solid aluminum sphere (mass 40g and diameter of 2.520 cm) at 100 C is placed on top of a thin steel ring (diameter 2.500 cm) at 20.0 C. The sphere-ring system is placed inside a thermal insulated box (no heat in or out). Find: (a) the final temperature that the solid sphere and the ring have the same diameter. (b) the mass of the ring. Coefficient of thermal expansion alfa of the steel is 8.0x106 1/K, Alpha of the aluminum is 12.0x10-6 1/K. the specific heat of the aluminum is 0.22 cal/g C, and that of the steel is 0.11 cal/g°C.

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A solid aluminum sphere (mass 40g and diameter of 2.520 cm) at 100 C is placed
on top of a thin steel ring (diameter 2.500 cm) at 20.0 °C. The sphere-ring system is placed
inside a thermal insulated box (no heat in or out).
Find:
(a) the final temperature that the solid sphere and the ring have the same diameter.
(b) the mass of the ring.
Coefficient of thermal expansion alfa of the steel is 8.0x106 1/K, Alpha of the aluminum is
12.0x106 1/K. the specific heat of the aluminum is 0.22 cal/g°C, and that of the steel is 0.11 cal/g C.
Transcribed Image Text:A solid aluminum sphere (mass 40g and diameter of 2.520 cm) at 100 C is placed on top of a thin steel ring (diameter 2.500 cm) at 20.0 °C. The sphere-ring system is placed inside a thermal insulated box (no heat in or out). Find: (a) the final temperature that the solid sphere and the ring have the same diameter. (b) the mass of the ring. Coefficient of thermal expansion alfa of the steel is 8.0x106 1/K, Alpha of the aluminum is 12.0x106 1/K. the specific heat of the aluminum is 0.22 cal/g°C, and that of the steel is 0.11 cal/g C.
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