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One end of an insulated metal rod is maintained at 100.0o

Chapter 17, Problem 64E

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QUESTION:

One end of an insulated metal rod is maintained at 100.0o C, and the other end is maintained at 0.00o C by an ice–water mixture. The rod is 60.0 cm long and has a cross-sectional area of 1.25 cm2. The heat conducted by the rod melts 8.50 g of ice in 10.0 min. Find the thermal conductivity k of the metal.

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QUESTION:

One end of an insulated metal rod is maintained at 100.0o C, and the other end is maintained at 0.00o C by an ice–water mixture. The rod is 60.0 cm long and has a cross-sectional area of 1.25 cm2. The heat conducted by the rod melts 8.50 g of ice in 10.0 min. Find the thermal conductivity k of the metal.

ANSWER:

Solution 64E Step 1: Area of cross section A = 1.25x10 4 m 2 Hot temperature T = 100°C H Cold temperature T C = 0°C Length of the rod L = 0.6 m Mass of ice melted m = 8.5 g or 8.5x10 Kg3 Time taken to melt t = 10 min or 600 s

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