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    Working with rods of different thermal conductivities

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    Which of the following cylindrical rods of the same material with its ends at the same steady difference of temperature will conduct maximum heat ?

    1. Lenght 100 cm & radius 1 cm

    2. length 200 cm & radius 1 cm

    3. length 400 cm & radius 2 cm

    4. length 100 cm & radius 2 cm

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf
    https://brainmass.com/physics/work/working-rods-different-thermal-conductivities-7680

    SOLUTION This solution is FREE courtesy of BrainMass!

    We have, the quantity of heat conducted

    Q = K A (t1 - t2)/d

    (t1 - t2) is the temperature difference existing between the ends of the rod.

    Q is proportinal to A/d where A is the area of cross section.

    Or we can write, Q proportional to r^2/d

    Now we'll examine each case,

    1. For this, r^2/d = 1/100 = 0.001

    2. here, r^2/d = 1/200 = 0.002

    3. r^2/d = 4/400 = 0.001

    4. r^2/d = 4/100 = 0.04

    Thus, case 4 corresponds to maximum amount of heat transfer.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf>
    https://brainmass.com/physics/work/working-rods-different-thermal-conductivities-7680

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