One end of a uniform brass rod of length and cross-sectional area is kept at

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

One end of a uniform brass rod of length

20\,\text{cm}

and cross-sectional area

10\,\text{cm}^2

is kept at

100^\circ\text{C}

. Its other end is in perfect thermal contact with another rod of identical cross-sectional area and length

10\,\text{cm}

. The free end of the second rod is kept in melting ice. At steady state,

360\,\text{g}

of ice melts per hour. Calculate the thermal conductivity of the second rod, given that the thermal conductivity of brass is

0.25\,\text{cal s}^{-1}\text{cm}^{-1}\,{}^\circ\text{C}^{-1}

and

L=80\,\text{cal g}^{-1}