What is the Final Temperature of a Water Mixture?

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The discussion revolves around determining the final temperature of a water mixture when equal amounts of water at 100°C and 20°C are combined in an insulated container. The key principle is that the heat lost by the hot water equals the heat gained by the cold water. Participants suggest using the formula for heat transfer, which involves specific heat capacity and temperature change. The final temperature is likely to be less than 60°C due to the heat exchange dynamics. Understanding the relevant equations is crucial for solving this type of thermal equilibrium problem.
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Homework Statement


You pour a certain amount of water at 100C and an equal amount of water at 20C into an insulated container. THe final temperature of the mixture will be (a) 60C (b) Less than 60C (c) greater than 60C.

Homework Equations





The Attempt at a Solution


I don't know what formula to use. Can someone give me a hint.
 
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The usual approach on these heat questions is to write this formula:
Heat lost by first material = Heat gained by second material

I trust you have a formula for calculating the heat when you have the temperature change.
 
Surely you have been learning about this in class. If not the correct equations are easily found with a google search.
 

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