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A piece of ice of mass of 100g and at te...

A piece of ice of mass of `100g` and at temperature `0^(@)C` is put in `200g` of water of `25^(@)C` .How much ice will melt as the temperature of the water reaches `0^(@)C`? The specific heat capacity of water`= 2400 J kg ^(-1)K^(-1)` and the specific latent heat of ice `= 3.4 xx 10^(3)J kg^(-1)`

A

20 g

B

30 g

C

40 g

D

50 g

Text Solution

Verified by Experts

The correct Answer is:
D
Heat required to melt ice `=100xx80=8000cal`
Maximum heat than can be given by water `=200xx1xx(20-0)=4000cal`
Whole ice is not melted, hence, equilibrium temperature `=0^@C`
Amount of ice melted `=(4000)/(80)=50g`
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CP SINGH-HEAT AND CALORIMETRY-Exercise
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  2. The temperature of equal masses of three different liquids A, B and C ...

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  3. Heat is supplied to a certain homogeneous sample of matter, at a unifo...

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  4. A solid material is supplied with heat at a constant rate. The tempera...

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  5. Two bodies of equal mass m are heated at a uniform rate under identica...

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  6. A student takes 50 g wax (specific heat =0.6 kcal//kg^(@)C) and heats ...

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  7. A block of ice at -10^@C is slowly heated and converted to steam at 10...

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  8. A substance of mass M kg requires a power input of P wants to remain i...

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  9. 80 g of water at 30^@C are poured on a large block of ice at 0^@C. The...

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  10. 10 g of ice at 0^@C is mixed with 100 g of water at 50^@C. What is the...

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  11. A piece of ice of mass of 100g and at temperature 0^(@)C is put in 200...

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  12. A 5 g piece of ice at -20^@C is put into 10 g of water at 30^@C. Assum...

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  13. 19 g of water at 30^@C and 5 g of ice at -20^@C are mixed together in ...

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  14. 2kg of ice at 20^@C is mixed with 5kg of water at 20^@C in an insulati...

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  15. 1 kg of ice at 0^@C is mixed with 1 kg of steam at 100^@C (i) The e...

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  16. How much steam at 100^@C will just melt 64 gm of ice at -10^@C?

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  17. Steam at 100^@C is allowed to pass into a vessel containing 10 g of ic...

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  18. Steam is passes into 22 g of water at 20^@C. The mass of water that wi...

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  19. If water at 0^@C kept in a container with an open top, is placed a lar...

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  20. In the previous question, if the specific latent heat of vaporization ...

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