A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surfacetemperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity ofthe wood are 0.15 W/m K and 0.82 x 10-7 m2/s, respectively.a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after thesudden increase in temperature.b) Calculate the energy gained by the sphere during this time.

College Physics
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Chapter11: Energy In Thermal Processes
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A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface
temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of
the wood are 0.15 W/m K and 0.82 x 10-7 m2
/s, respectively.
a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the
sudden increase in temperature.

b) Calculate the energy gained by the sphere during this time.

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