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A Uniform Slab of Dimension 10 Cm × 10 Cm × 1 Cm is Kept Between Two Heat Reservoirs at Temperatures 10°C and 90°C. the Larger - Physics

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Question

A uniform slab of dimension 10 cm × 10 cm × 1 cm 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−1 °C−1. Find the amount of heat flowing through the slab per minute.

Solution

Given:
Thermal conductivity of the material, k = 0.80 W m-1  °c-1
Area of the cross section of the slab, A = 100 cm2  = 10-2 m2
Thickness of the slab, Δx = 1 cm = 10 -2 m

`"Rate of flow of heat" ="Temperature  difference" / "Thermal resisstance"`

`⇒ (ΔQ)/(Δt) = (ΔT)/((Δx)/(kA)`

`(ΔQ)/(Δt) = ((90 - 10 ) k.A)/(Δx)`

`(ΔQ)/(Δt) = ((80) xx 0.8 xx 10^-2)/(Δx)1`

`(ΔQ)/(Δt)= 64 J //s`

`(ΔQ)/(Δt) = 64xx60 = 3840  J//min`

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Solution A Uniform Slab of Dimension 10 Cm × 10 Cm × 1 Cm is Kept Between Two Heat Reservoirs at Temperatures 10°C and 90°C. the Larger Concept: Thermal Expansion of Solids.
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