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80g of water at 30C are poured on a larg...

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

A

30g

B

80g

C

150g

D

1600g

Text Solution

Verified by Experts

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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Knowledge Check

  • 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

  • A 2 kg copper block is heated to 500^@C and then it is placed on a large block of ice at 0^@C . If the specific heat capacity of copper is 400 "J/kg/"^@C and latent heat of fusion of water is 3.5xx 10^5 J/kg. The amount of ice that can melt is :

    A
    (7/8) kg
    B
    (7/5) kg
    C
    (8/7) kg
    D
    (5/7) kg

  • When 1 g of ice melts at 0^@C

    A
    80 cal of heat is liberated
    B
    80 cal of heat is absorbed
    C
    no heat is required
    D
    none of these

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