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80 gm of water at 30oC is poured on a large block of ice at 0oC. The mass of ice that melts is

a
30 gm
b
80 gm
c
150 gm
d
1600 gm

detailed solution

Correct option is A

Since, the block of ice at 0oC is large, the whole of ice will not melt, hence final temperature is 0oC .∴Q1 = heat given by water in cooling upto 0oC=msΔθ=80×1×(30−0)= 2400 calIf m gm be the mass of ice melted, thenQ2=mLF=m×80  Now, Q2=Q1m x 80 = 2400 or m = 30 gm.

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