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Q.

60 g of ice at 0oC is mixed with 60 g of steam at 100oC. At thermal equilibrium, the mixture contains

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a

80 g of water and 40 g of steam at 100oC

b

120 g of water 90oC

c

120 g of water at 100oC

d

40 g of steam and 80 g of water at 0oC

answer is A.

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Detailed Solution

if we take resultant temperature as 1000C Then steam can liberate the heat of
60 x 540  = 32400 =Q1

this steam will melt the ice at 00C and will be heating melted wataer to 1000C

mLi + mst = Q2 
60 x 80 + 60 x 1 x 100 = 10800  water (ice) 
hence steam is dominating, only part of stem is melted .Let x gm of steam is melted

if 10,800 calories heat  is given by steam then mass of the stem condensed will be x

540x  = 10800
x = 20 gm
 40 gm of steam is remained and 20 gm is condensed and total 80gm of water is finally present

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60 g of ice at 0oC is mixed with 60 g of steam at 100oC. At thermal equilibrium, the mixture contains