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What mass of steam at 160 degree C must be mixed with 150g of ice at...

What mass of steam at 160 degree C must be mixed with 150g of ice at 0 degree C, in a thermally insulated container, to produce liquid water at 60 degrees C? Specific heat (heat capacity) of water is 1 cal/gC, of steam 0.48 cal/gC and of ice 0.5 cal/gC. Latent heat of melting for ice is 80 cal/g. Latent heat of vaporization for steam is 540 cal/g.
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