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The thermal conductivity of a material i...

The thermal conductivity of a material in CGS system is 0.4. In steady state, the rate of flow of heat 10 cal/sec-cm, then the thermal gradient will be

Text Solution

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The correct Answer is:
`25^(@)C//cm`
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A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and oputer radius 2R. The thermal conductivity of the material of the inner cylinder si k_(1) and that of the outer cylinder is K_(2) ,Assumming no loss of heat , the effective thermal conductivity of the system for heat flowing along the length of the cylionder is :

(a) Calculate the rate at which body heat is conducted through the clothing of a skier in a steady-state process, given the following data : the body surface area is 1.8m^(2) , and the clothing is 1.0 cm thick , the skin surface temperature is 33^(@)C and the outer surface of the clothing is at 1.0^(@)C , the thermal conductivity of the clothing is 0.040 W//m . K. (b) If , after a fall, the skier's clothes became soaked with water of thermal conductivity 0.60 W//m.K , by how much is the rate of conduction multiplied ?

Knowledge Check

  • Assertion : Greater is the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a rod of that material. Reason : Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat.

    A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion
    C
    If assertion is true reason is false
    D
    If the assertion and reason both are false.

  • If the specific heat of lead is 0.03 cal/gm, then the thermal capacity of 500 gm of lead will be

    A
    `5cal//.^(@)C`
    B
    `10cal//.^(@)C`
    C
    `15cal//.^(@)C`
    D
    `20cal//.^(@)C`

  • The ends of the two rods of different materials with their lengths, diameters of cross-section and thermal conductivities all in the ratio 1 : 2 are maintained at the same temperature difference. The rate of flow of heat in the shorter rod is 1cals^(-1) . What is the rate of flow of heat in the larger rod:

    A
    `1 cal s^(-1)`
    B
    `4 cal s^(-1)`
    C
    `8 cal s^(-1)`
    D
    `16 cal s^(-1)`

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