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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) |
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Answer» 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)
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