What is the Final Temperature of a Water Mixture?

In summary, when combining two equal amounts of water at different temperatures in an insulated container, the final temperature of the mixture will depend on the amount of heat lost and gained by the water. The formula for calculating this is heat lost by first material = heat gained by second material. The specific final temperature can be determined using a formula for calculating heat during temperature changes.
  • #1
fallen186
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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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  • #2
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.
 
  • #3
Surely you have been learning about this in class. If not the correct equations are easily found with a google search.
 

Related to What is the Final Temperature of a Water Mixture?

1. How do you calculate the final temperature of a water mixture?

The final temperature of a water mixture can be calculated using the formula: Tf = (m1 x T1 + m2 x T2) / (m1 + m2), where Tf is the final temperature, m1 and m2 are the masses of the two water samples, and T1 and T2 are their respective temperatures.

2. What factors affect the final temperature of a water mixture?

The final temperature of a water mixture is affected by the initial temperatures of the two water samples, their masses, and the specific heat capacity of water (4.186 J/g°C).

3. Can the final temperature of a water mixture be higher than the initial temperatures?

Yes, the final temperature of a water mixture can be higher than the initial temperatures if the two water samples have different temperatures and masses. This is because the heat energy from the warmer water will transfer to the cooler water, increasing the overall temperature.

4. How do you determine the specific heat capacity of a substance?

The specific heat capacity of a substance can be determined by conducting a calorimetry experiment. This involves measuring the change in temperature of a known mass of the substance when a known amount of heat energy is added to it.

5. Can the final temperature of a water mixture ever be the average of the initial temperatures?

Yes, if the two water samples have the same mass and temperature, the final temperature of the mixture will be the average of the initial temperatures. This is because there is no net transfer of heat energy between the two samples in this scenario.

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