What is the Final Temperature of a Water Mixture?

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SUMMARY

The final temperature of a mixture of equal amounts of water at 100°C and 20°C in an insulated container is 60°C. This conclusion is derived from the principle of conservation of energy, where the heat lost by the hot water equals the heat gained by the cold water. The relevant formula is based on the equation: Heat lost by hot water = Heat gained by cold water. This approach is standard in thermodynamics for calculating equilibrium temperatures in mixtures.

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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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