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A uniform slab of dimension 10cmxx10cmxx...

A uniform slab of dimension `10cmxx10cmxx1cm` is kept between two heat reservoire at temperatures `10^(@)C and `90^(@)C` The larger surface areas touch the reservoirs. The thermal condutivity of the material is `0.80Wm^(-1)`^(@)C^(-1)` . Find the amount of heat flowing through the slab per minute.

Text Solution

Verified by Experts

The correct Answer is:
C, D
`(T_1)=90^(@)C,(T_2)=(10^(@)C)`
`l=1cm=0.01m`,brgtA=10cmxx10cm`,brgt`=0.1xx0.1(m^2)=1xx(10^(-2)m^2)`
`k=0.80W//(m-^(@)C)`
`(Q)/(T)=(kA(T_1-T_2))/(l)`
`(8xx10^(-1)xx10^(-2)xx(90-10))/(1xx10^(-2))`
`=64J//s=3840 J//min`.
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A uniform slab of dimension 10cm xx 10cm xx 1cm is kept between two heat reservoirs at temperatures 10°C and 90°C. The larger surface areas touch the reservoirs. The thermal conductivity of the material is 0.80 W/m–°C. Find the amount of heat flowing through the slab per second.

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Knowledge Check

  • A slab of stone area 3600 cm^(2) and thickness 10cm is exposed on the lower surface to steam at 100^(@)C A block of ice at 0^(@)C rest on upper surface of the slab. In one hour 4.8kg of ice is melted. The thermal conductivity of the stone in Js^(-1)m^(-1)k^(-1) is (latent heat of ice =3.36 xx 10^(5) J//Kg .

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