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Question

# In an energy recycling process, X g of steam at 100°C becomes water at 100°C which converts Y g of ice at 0°C into water at 100°C. The ratio X/Y will be

A
23
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B
3
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C
2
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D
13
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Solution

## Use the principle of calorimetry (Heat given by one substance = Heat taken by other substance)We can write,Xg(Steamat1000C)⟶Xl(Waterat00C) And also Ys(Iceat00C)⟶Yl(Waterat00C)⟶Yl(Waterat1000C) Now we can writeReleased energy = mLθ=540X Required energy = mLf+msΔT=80Y+100Y=180Y According to the principle of calorimetry 540X=180YOr,XY=13 Hence the required ratio is 1 : 3

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