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Ice at 0oC mixed with 200 gm of water at 20oC. If final mixture at equilibrium contains five times water than ice,the initial mass of ice was

(WaterCwater=1cal/gmα,Lice=80cal/gmoC)

a
50 gms
b
100 gms
c
125 gms
d
75 gms

detailed solution

Correct option is B

Let initial mass of ice be ‘m’ gmAlso let mass of ice melted be ‘x’ gm∴(200+x)=5(m−x)⇒m=x+x5+40=6x5+40gm      ......(1)Also,  x×80=200×1×(20−0)⇒x=50gm    .......(2)∴m=6×505+40gm=100gm

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