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A Rod, with Sides Insulated to Prevent Heat Loss, Has 7.05 cm27.05 \mathrm {~cm} ^ { 2 }

Question 146

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A rod, with sides insulated to prevent heat loss, has one end immersed in boiling water at 100°C and the other end in a water-ice mixture at 0°C. The rod has uniform cross-sectional area 7.05 cm27.05 \mathrm {~cm} ^ { 2 } and length 87 cm.87 \mathrm {~cm} . The heat conducted by the rod melts the ice at a rate of 1.0 g every 11 seconds. What is the thermal conductivity of the rod? Recall that the heat of fusion of water is 3.34 × 105 J/kg.

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