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A metal rod AB of length 10x has its one end A in ice at 0∘C and the other end (B) in water at 100∘C. If a point P on the rod is maintained at 400∘C, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal g−1 and the latent heat of fusion of ice is 80cal g−1. If the point P is at a distance of λx from the end A, find the value of λ. (Neglect any heat loss to the surroundings)

Answer» A metal rod AB of length 10x has its one end A in ice at 0C and the other end (B) in water at 100C. If a point P on the rod is maintained at 400C, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal g1 and the latent heat of fusion of ice is 80cal g1. If the point P is at a distance of λx from the end A, find the value of λ.
(Neglect any heat loss to the surroundings)



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