A copper rod has a length of  1.5m1.5m and a cross-sectional area of 4.0×10−4m24.0×10−4m2. One end of the rod is in contact with boiling water and the other with a mixture of ice and water. What is the mass of ice per second that melts? Assume that no heat is lost through the side surface of the rod. Take the thermal conductivity of copper to be k=401W.m.Kk=401W.m.K, and the latent heat of fusion of ice to be 3.35×105J/kg3.35×105J/kg.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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A copper rod has a length of  1.5m1.5m and a cross-sectional area of 4.0×10−4m24.0×10−4m2. One end of the rod is in contact with boiling water and the other with a mixture of ice and water. What is the mass of ice per second that melts? Assume that no heat is lost through the side surface of the rod. Take the thermal conductivity of copper to be k=401W.m.Kk=401W.m.K, and the latent heat of fusion of ice to be 3.35×105J/kg3.35×105J/kg.

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