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in this mixing problem
Heat is lost by 100 C steam = Heat gained by 0 C ice
heat gained by ice = m*Lice+m*Swater*(tf - 0)
= 1*80 + 1*1*tf
Heat lost by steam = m*Lwater + m*Swater *(100 - tf)
= 1*0.5 + 1*1 *(100 - tf)
tf = 10.5 C
Note: All Units are in cgs
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