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A spent nuclear rod 2 m in length and 20 cm in diameter is encased in concrete, a cylinder 2 m long and 40 cm in diameter. The spent rod generates heat at a rate of 2700 W/m³. For radiation shielding the rod should be buried as deep as possible, however, the surface temperature of the rod should not exceed 200°C. If the thermal conductivity of the soil is 0.27 W/m-K, how deep can the rod be buried?

A spent nuclear rod 2 m in length and 20 cm in diameter is encased in concrete, a cylinder 2 m long and 40 cm in diameter. The spent rod generates heat at a rate of 2700 W/m³. For radiation shielding the rod should be buried as deep as possible, however, the surface temperature of the rod should not exceed 200°C. If the thermal conductivity of the soil is 0.27 W/m-K, how deep can the rod be buried?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A spent nuclear rod 2 m in length and 20 cm in diameter is encased in concrete, a cylinder 2 m long and 40 cm in diameter. The spent rod generates heat at a rate of 2700 W/m³. For radiation shielding the rod should be buried as deep as possible, however, the surface temperature of the rod should not exceed 200°C. If the thermal conductivity of the soil is 0.27 W/m-K, how deep can the rod be buried?
Transcribed Image Text:A spent nuclear rod 2 m in length and 20 cm in diameter is encased in concrete, a cylinder 2 m long and 40 cm in diameter. The spent rod generates heat at a rate of 2700 W/m³. For radiation shielding the rod should be buried as deep as possible, however, the surface temperature of the rod should not exceed 200°C. If the thermal conductivity of the soil is 0.27 W/m-K, how deep can the rod be buried?
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