1.

`1kg` ice at `-10^(@)` is mixed with `1kg` water at `50^(@)C`. The final equilibrium temperature and mixture content.

Answer» Heat taken by ice `5= Kcal + 80 Kcal = 85 Kcal`
Heat given by water `= 1 xx 1 xx 50 = 50 Kcal`
Heat `gt` Heat given so, ice will not complete melt let m g ice melt then
`1 xx (1)/(2) xx 10 +80 m = 50`
`80 m = 45 rArr m = (45)/(80)`
Content of mixture `{:{("water"(1+(45)/(80))kg),("ice"(1-(45)/(80))kg):}}` and temperature is `0^(@)C`


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