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80g of water at 30^(@)C is poured on a l...

80g of water at `30^(@)C` is poured on a large block of ice at `0^(@)C`. The mass of ice that melts is

A

30g

B

80g

C

150g

D

1600g

Text Solution

Verified by Experts

The correct Answer is:
A
Since, the block of ice at `0^(@)C` is large, the whole of ice will not melt, hence final temperature is `0^(@)C`.
`therefore Q_(1)`= heat given by water is cooling upto `0^(@)C= ms Delta t= 80 xx 1 xx (30-0)= 2400` cal
If m g be the mass of ice melted, then
`Q_(2)= mL_(F)= m xx 80`
Now, `Q_(2)= Q_(1)`
`rArr m xx 80= 2400` or m= 30g
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