Q.

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

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a

30 gm

b

80 gm

c

150 gm

d

1600 gm

answer is A.

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Detailed Solution

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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