Water Temperature Calculator

Formula

To calculate the final water temperature (\(WT\)):

\[ WT = \frac{m1 \times T1 + m2 \times T2}{m1 + m2} \]

Where:

\(WT\) is the final water temperature (°C)
\(m1\) is the mass of the first container (kg)
\(T1\) is the temperature of the first container (°C)
\(m2\) is the mass of the second container (kg)
\(T2\) is the temperature of the second container (°C)

What is Final Water Temperature?

The final water temperature of a mixture is calculated by combining the masses and temperatures of two separate bodies of water. This calculation helps in determining the equilibrium temperature when two water bodies are mixed.

Example Calculation 1

Let's assume the following values:

Mass of First Container (\(m1\)) = 2 kg
Temperature of First Container (\(T1\)) = 30 °C
Mass of Second Container (\(m2\)) = 3 kg
Temperature of Second Container (\(T2\)) = 20 °C

Using the formula:

\[ WT = \frac{2 \times 30 + 3 \times 20}{2 + 3} = 24 \]

The final water temperature is 24 °C.

Example Calculation 2

Let's assume the following values:

Mass of First Container (\(m1\)) = 1 kg
Temperature of First Container (\(T1\)) = 50 °C
Mass of Second Container (\(m2\)) = 4 kg
Temperature of Second Container (\(T2\)) = 10 °C

Using the formula:

\[ WT = \frac{1 \times 50 + 4 \times 10}{1 + 4} = 18 \]

The final water temperature is 18 °C.