What is the final temperature when 200 g of water at 25 c is mixed with 300 g of water at 80 c


When two liquids of different temperatures are mixed together, the final temperature is usually somewhere in between the two original temperatures. But what happens when you mix 200 grams of water at 25 degrees Celsius with 300 grams of water at 80 degrees Celsius? Let’s find out!

Introduction

When two fluids of different temperatures are mixed together, the final temperature of the mixture will be somewhere in between the two original temperatures. This is because the energy of the system will be redistributed until both fluids reach the same temperature. In order to calculate the final temperature of a mixture, we must first understand how to calculate the energy of each fluid.

The science behind the final temperature

When two substances at different temperatures are combined, the final temperature is determined by the relative amount of each substance and their respective temperatures. In this case, the 200 grams of water at 25 degrees Celsius is combined with 300 grams of water at 80 degrees Celsius. The final temperature will lie somewhere in between these two extremes, and can be calculated using the following equation:

Tfinal = (200 x 25 + 300 x 80) / (200 + 300)

Tfinal = 53.3 degrees Celsius

The math behind the final temperature

To find the final temperature when two substances of different temperatures are mixed, we use the following equation:

Tfinal = (T1 x m1 + T2 x m2) / (m1 + m2)

where T1 and T2 are the temperatures of the two substances being mixed, and m1 and m2 are the mass of those substances. In our example, we have 200 g of water at 25 c being mixed with 300 g of water at 80 c. So our equation would look like this:

Tfinal = (25 c x 200 g + 80 c x 300 g) / (200 g + 300 g)

Tfinal = 25,000 c + 24,000 c / 500 g

Tfinal = 49,000 c / 500 g

Tfinal = 98 c

Why does the final temperature matter?

The final temperature of a mixture of two different temperature liquids is important because it determines how much heat energy is transferred from one liquid to the other. The final temperature also determines the direction of heat flow. If the final temperature is lower than the original temperatures of the two liquids, then heat flows from the hotter liquid to the cooler liquid. If the final temperature is higher than the original temperatures of the two liquids, then heat flows from the cooler liquid to the hotter liquid.

How does the final temperature affect everyday life?


The final temperature of a mixed substance is very important in many everyday applications. If two substances are not of the same temperature, they will naturally try to equalize their temperatures. This process is called thermal equilibrium. A prime example of this can be found in our own bodies; when we have a fever, our bodies are trying to equalize its temperature with the surrounding environment.

Thermal equilibrium is also important in terms of food and cooking. Different foods need to be cooked at different temperatures in order for them to be safe to eat; for example, meat needs to be cooked at a higher temperature than vegetables. If two substances are not of the same temperature, they will naturally try to equalize their temperatures. This process is called thermal equilibrium. A prime example of this can be found in our own bodies; when we have a fever, our bodies are trying to equalize its temperature with the surrounding environment.

Thermal equilibrium is also important in terms of food and cooking. Different foods need to be cooked at different temperatures in order for them to be safe to eat; for example, meat needs to be cooked at a higher temperature than vegetables.If two substances are not of the same temperature, they will naturally try to equalize their temperatures. This process is called thermal equilibrium

What would happen if the final temperature were different?

If the final temperature were different, it would either be because the heat capacity of the water was different, or the heat loss to the surrounding environment was different. If the heat capacity were different, that would mean that either more or less energy was needed to raise the temperature of the water. If the heat loss to the surrounding environment were different, that would mean that either more or less energy was being lost to the surrounding environment.

The importance of the final temperature

The final temperature is important because it determines how much energy is transferred between the two substances. If the final temperature is lower than the initial temperature, then heat has been lost and the process is exothermic. If the final temperature is higher than the initial temperature, then heat has been gained and the process is endothermic.

Conclusion

The final temperature of the water will be 55 degrees Celsius.


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