calculate the final temperature of 100ml of water at 20°c and 300ml of water at 30°c
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You can see an example of this law in operations by mixing two liquids at different temperature and calculating the final temperature. Check the final temperature achieved in the mixture against your calculations. The answer should be the same if you assume that no energy was lost to the environment. The practical answer is different from the one you calculated because some heat is in fact lost to the surroundings. Look at how the calculation is performed, assuming that you mix two containers of water at different temperatures together.
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