The temperature of 170 g of water at 50 degree celsius is lowered to 5 degree celsius by adding a certain amount of ice to it. Find the mass of ice added. Given : specific heat capacity of water = 4200 J kg-1 degree celsius and specific latent heat of ice = 336000 J kg-1.
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Let the mass of ice to be added be m
i
.
Given : S
w
=4200 J/kg
o
C L=336000 J/kg
Mass of water m
w
=170 g=0.17 kg
Change in temperature of water ΔT=50−5=45
o
C
Heat energy released by water in lowering its temperature is absorbed by ice to melt.
Using m
i
L=m
w
S
w
ΔT
∴ m
i
×336000=0.17×4200×45
⟹ m=0.0956 kg=95.6 g
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