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A wall has two layers A and B, each made...

A wall has two layers A and B, each made of different material. Both the layers have the same thickness. The thermal conductivity of the material of A is twice that of B . Under thermal equilibrium, the temperature difference across the wall is `36^@C.` The temperature difference across the layer A is

Text Solution

Verified by Experts

Given that `k_(A)=2k_(B)`
In steady state we use
`|(dQ)/(dt)|_(net)=|(dQ)/(dt)|_(A)=|(dq)/(dt)|_(B)`
`implies(k_(A)A(DeltaT_(A)))/(x)=(36)/(1/(k_(A)).(x)/(A)+(1)/(k_(B))(x)/(A)`
`impliesDeltaT_(A)=(36)/(3)=12^(@)C`
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Knowledge Check

  • A wall has two layers A and B, each made of different material. Both the layers have the same thickness. The thermal conductivity for A is twice to that of B. Under steady state, the temperature difference across the whole wall is 36^(@)C . Then the temperature difference across the layer A is

    A
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    B
    `12^(@)C`
    C
    `18^(@)C`
    D
    `24^(@)C`

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    A
    `8^(@)C`
    B
    `12^(@)C`
    C
    `16^(@)C`
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    `20^(@)C`

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