# Temperature of water at different temperature mixed together

• semc
In summary, when 100g of water at 370K is mixed with 200g of water at 290K, the final temperature will be the same for both waters since the heat lost by the warm water is equal to the heat gained by the cool water. Using the formula for heat gained by the cool water and equating it to the heat lost by the hot water, we can determine that temperature is proportional to energy and the final temperature will be a result of both waters reaching equilibrium.
semc
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?

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

## 1. How does mixing water at different temperatures affect the overall temperature?

When water at different temperatures is mixed together, the overall temperature will be the average of the temperatures of the individual waters. For example, if you mix 1 liter of water at 40°C (104°F) with 1 liter of water at 20°C (68°F), the resulting temperature will be 30°C (86°F).

## 2. Is there a specific ratio of hot and cold water that will result in a certain temperature?

Yes, the resulting temperature will depend on the quantity and temperature of each water. The formula for finding the resulting temperature after mixing is (V1 x T1 + V2 x T2) / (V1 + V2) = Resulting Temperature, where V is the volume and T is the temperature.

## 3. What factors can affect the final temperature when mixing water at different temperatures?

The final temperature can be affected by the initial temperatures of the water being mixed, the quantities of each water, and the rate of mixing. Other factors such as the container used and the surrounding temperature may also play a role.

## 4. Can mixing water at extreme temperatures be dangerous?

Yes, mixing water at extreme temperatures can be dangerous. Water at very high temperatures can cause burns, and mixing with cold water can cause rapid cooling and potentially hypothermia. It is important to use caution and protective gear when handling water at extreme temperatures.

## 5. What happens to the density of water when it is mixed at different temperatures?

The density of water can change when it is mixed at different temperatures. Generally, warm water is less dense than cold water, so when they are mixed, the resulting water may have a different density than either of the individual waters. However, the change in density may be negligible depending on the temperature difference and quantities of water being mixed.

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