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morrobay
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Homework Statement
One liter of water at 30 C ( 30000 calories )
100 gram (100 cc ) sphere of ice at 0 C is in center of water volume.
The ice will absorb 8000 cal melting and final water temp = 22000 cal/ 1100 g = 20 C
Assuming mixing and uniform water temp during melting ,and vessel is insulated from
surroundings , how long for ice to melt ?
Homework Equations
Heat Transfer Coefficient: for phase changes between a fluid and solid
h = q/A delta T
q = cal/sec
h = cal/sec/M2 C for ice .523
A= surface area sphere = .01034 M2
delta T = 30 C
The Attempt at a Solution
This is difficult since delta T and A are both going to 0
For initial conditions only q = (.523 cal/sec/M2 C) (.01034 M2)30 C
q= .162 cal/sec , 8000 cal/.162 cal/sec = 13.7 hrs
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