Final Temperature of Hot Metal in a Calorimeter

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SUMMARY

The discussion centers on calculating the final temperature of a system involving a copper vessel, water, ice, and a lead piece. The specific heats of copper (0.093 cal/g°C) and lead (0.031 cal/g°C), along with the melting heat of water (79.7 cal/g), are utilized in the calculations. The equation set up by the user indicates that the heat lost by the lead is equal to the heat gained by the water and the ice. The user concludes that the final temperature calculation yields a small negative value, indicating that not all ice melts.

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Homework Statement


A copper vessel of 100 gr contains water, 150 gr, and 8 gr of ice. a 100 gr piece of lead at 2000C is thrown in. what's the final temp'

Homework Equations


Specific heat copper: 0.093
Specific heat lead: 0.031
Melting heat water: 79.7[cal/gr]

The Attempt at a Solution


On the left is the calorie change in the lead:
##100\cdot 0.031(200-T)=(158+100\cdot 0.093)T+8\cdot 79.7##
T comes out small and negative
 
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I solved, it doesn't melt the whole ice, i cannot delete the thread, i don't know how to do it
 

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