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NEET2012PhysicsThermal Properties of MatterActual

A slab of stone of area of 0.36 ~m ^2 and thickness 0.1 ~m is exposed on the lower surface to steam at 100^ C . A block of ice at 0^ C rests on the upper surface of the slab. In one hour 4.8 ~kg of ice is melted. The thermal conductivity of slab is (Given latent heat of fusion of ice =3.36 10^5 ~J ~kg ⁻¹ )

Options

  1. A1.24 ~J / m / s / ^ C
  2. B1.29 ~J / m / s / ^ C
  3. C2.05 ~J / m / s / ^ C
  4. D1.02 ~J / m / s / ^ C

Correct answer

A. 1.24 ~J / m / s / ^ C

Step-by-step solution

aligned Q t & = K A L (T₁-T₂ ) Q & = K A L (T₁-T₂ ) t Q & =m L_f K A L (T₁-T₂ ) t & =m L_f K & = m L_f L A (T₁-T₂ ) t K & = 4.8 3.36 10^5 0.1 0.36 100 3600 aligned aligned & = 4.8 3.36 0.36 36 & =1.24 ~J / m / s / ^ C aligned

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