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A vessel of surface area `1m^(2)` made of a copper sheet of thicknes `5mm` is filled with melting ice and is immersed in water at `100^(@)C`. Calculate the rate at which the ice melts. The conductivity of copper is `302.4Js^(-1)m^(-1)K^(-1)` and the latent heat of fusion of ice is `336xx10^(3)Jkg^(-2)`

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