Temperature of water at different temperature mixed together

AI Thread Summary
To find the final temperature when mixing 100g of water at 370K with 200g of water at 290K, the principle of conservation of energy is applied, where the heat lost by the warm water equals the heat gained by the cool water. The specific heat capacity of water is essential for these calculations. The formula for heat transfer must be set up for both quantities of water and equated, as they will reach a common final temperature. The discussion emphasizes that temperature is proportional to energy, linking the concepts of heat transfer and temperature change. This approach allows for the calculation of the final equilibrium temperature after mixing.
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100g of water at 370K are mixed slowly with 200g of water at 290K. What is the final temperature?

Totally no clue where to start. Do I use the specific heat capacity of water? But what is the heat energy?
 
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Yes you use specific heat capacity.
The heat lost by the warm water is equal to the heat gained by the cool water.
The clue is that at the end they are both at the same temperature.
Write down the formula for heat gained by the cool water, then equate it to the heat lost by the hot water.
 
temperature is energy / degree of freedom

therefore temperature is proportional to energy
 
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