Mixed Water Temperature: 100ml @ 20°C & 400ml @ 40°C

In summary, mixed water temperature refers to a combination of two or more volumes of water with different temperatures. The temperature of mixed water is calculated by taking the weighted average of the individual volumes' temperatures. The specified volumes and temperatures are necessary for an accurate calculation using the weighted average formula. The chosen temperatures of 20°C and 40°C are commonly used as reference points for water temperature. The final temperature of the water will be closer to the temperature of the larger volume of water with the higher initial temperature. In this case, the final temperature will be closer to 40°C due to the 400ml of water at 40°C being a larger volume with a higher initial temperature compared to the 100ml at 20°C.
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Homework Statement

If a beaker has 100 ml of water at 20 degrees and another one has 400ml of water at 40 degree what would the temperature be when mixed
 
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What are your thoughts on the question? Have you made an attempt?

HINT: Think about the first law of thermodynamics -- the energy transferred from the hot water will be equal to the energy transferred to the cold water. Whatever this energy is, it should cause the hot and cold water to end up at the same temperature.
 

1. What is meant by "Mixed Water Temperature"?

Mixed water temperature refers to the temperature of a mixture of two or more different volumes of water that have been combined together.

2. How is the temperature of mixed water calculated?

The temperature of mixed water is calculated by taking the weighted average of the temperatures of the individual volumes of water. This means multiplying each volume by its corresponding temperature, adding these products together, and then dividing by the total volume of water.

3. Why are the volumes and temperatures of the water specified in this question?

The volumes and temperatures of the water are specified in order to accurately calculate the final temperature of the mixture. Knowing the initial volumes and temperatures allows for the use of the weighted average formula mentioned in the previous question.

4. What is the significance of the temperatures being 20°C and 40°C?

The temperatures of 20°C and 40°C were likely chosen as they are commonly used as reference points for water temperature. 20°C is often used as a standard room temperature, while 40°C is equivalent to a warm bath temperature.

5. How does the mix of different volumes and temperatures affect the final temperature of the water?

The final temperature of the water will be closer to the temperature of the larger volume of water with the higher initial temperature. In this case, the final temperature will be closer to 40°C as the 400ml of water at 40°C is a larger volume and has a higher initial temperature compared to the 100ml at 20°C.

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