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80gm of water is at 30`C is poured on a large block of ice at 0`C. The ice that melts is: A. 30 gm B. 50 gm C. 150 gm D. 160 10gm Explain the answer.

80gm of water is at 30`C is poured on a large block of ice at 0`C. The ice that melts is:
A. 30 gm
B. 50 gm
C. 150 gm
D. 160 10gm
       Explain the answer. 

Grade:12th pass

1 Answers

jayanti
31 Points
4 years ago
A/C to thermodynamics , 
Heat flow from higer temperature body to lower temperature body 
Heat loss by water = Heat gain by ice 
Given, mass of water = 80gm 
specific heat of water = 1 Cal/gm/°C 
∴ Heat loss by water = MS∆T 
= 80 × 1 × (30 -0) 
= 80 × 1 × 30 
= 2400cal 
Heat gain by ice = MLf 
Lf is latent heat of fusion = 80Cal/gm 
M is the mass of melted ice 
Now, 2400 = 80M
M = 30gm 
Hence , 30gm of ice is melted

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