In an Experiment to Measure the Thermal Conductivity of a Certain

question 57

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) \(0.620 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }\)

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