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Q.

In a container of negligible mass ‘m’ grams of steam at 1000C  is add to 100 gm of water at 200C  . If no heat is lost to the surrounding at equilibrium, Match the following

 Column – I Column – II
I)Mass of steam in the mixture(in gm) : If m = 20 gm P)114.8
II)Mass of water in mixture (in gm) if m = 20 gmQ)76.4
III)If m = 20 gm find temperature of the mixture (in  0C)R)5.2
IV)If m = 10 gm final temperature of the mixture (in  0C)S)100
  T)120

 

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a

IQ  II R  III P IVS

b

IP IIS IIIQ IVR

c

IR IIP IIIS IVQ

d

IS IIQ IIIR IVP

answer is D.

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Detailed Solution

Amount of Heart required to convert 200C  into  1000C  of water 

Qmsdθ                                                    massofsteam=100×1×300                           mL  =  8,000Q=Cal                                                     ms=8,000540=8000                                                         ms=  14.8  gm

If  mass of learn is above 14.8 gm the resultant temp =  1000C
Mass of steam in mixture = 20 – 14.8 = 5.2 gm
Mass of water in mixture = 100 + 14 .8 = 114.8 gm
If m = 10gm         Find temp θ=76.40C  

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