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80 g of water at 30^@C are poured on a l...

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

A

30 g

B

80 g

C

150 g

D

1600 g

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 In cooling upto `0^(@)`C
` = ms Deltat = 80 xx 1 xx ( 30 - 0) = 2400" cal"`
If m g be the mass of ice melted, then
`Q_2 = m L_(F) = m xx 80`
Now, `Q_2 = Q_1`
`rArr m xx 80 = 2400" or " m = 30" g"`
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