Thermal Physics, finding the thermal conductivity of a metal

[jv616]

Homework Statement

One end of a metal rod is maintained at 100°C, and the other end is placed in a large
container with ice and water at 0°C. The rod has length 50 cm and a cross-sectional area
of 0.8 cm
2
. The heat conducted by the rod melts 4 g of ice in 5 minutes. Calculate the
thermal conductivity of the metal.

Homework Equations

Q=M*C*(Delta T)
H=(-Delta T)/R
R=(delta X)/KA

The Attempt at a Solution

The first thing that I did was find the heat of ice
Q=(.4kg)(2050J/(M*K))(100-0) which gave me the value 82000 J
Since I now know the heat I plugged this value into the H=(-Delta T)/R

I solved and found that my R value was 1.2*E-3

I manipulated the last equation to give me
K=(delta x)/AR
And found a K value of 1024.99

I wanted to know if I did this problem correctly, any feedback would be appreciated

 

[gneill]

In calculating Q, the ice is melting (going from ice at 0C to water at 0C). No ΔT is involved.