In an Experiment to Measure the Thermal Conductivity of a Certain

Multiple Choice

In an experiment to measure the thermal conductivity of a certain material, a slab of material 10.0 mm thick separates a steam chamber from a block of ice with a square cross-section with dimensions $8.00 \mathrm {~cm} \times 8.00 \mathrm {~cm}$
After 5.00 min of running the experiment, 64.0 g of ice have melted. What is the thermal conductivity of this material? The latent heat of fusion of water is $33.5 \times 10 ^ { 4 }$ J/Kg, the latent heat of vaporization of water is $2.256 \times 10 ^ { 6 } \mathrm {~J} / \mathrm { kg }$ and both the ice and water are under 1.00 atm of pressure.

A) $0.250 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$
B) $0.130 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$
C) $0.440 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$
D) $1.12 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$
E) $0.620 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$