Mixed Water Temperature Calculator

Mixed Water Temperature Formula:

\[ T_{mixed} = \frac{(V_{hot} \times T_{hot} + V_{cold} \times T_{cold})}{(V_{hot} + V_{cold})} \]

Hot Water Volume (V_hot):

Hot Water Temperature (T_hot):

°C

Cold Water Volume (V_cold):

Cold Water Temperature (T_cold):

°C

Mixed Water Temperature (T_mixed):

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1. What is the Mixed Water Temperature Formula?

The mixed water temperature formula calculates the final temperature when two bodies of water at different temperatures are combined. It's based on the principle of conservation of energy, where the heat lost by the hot water equals the heat gained by the cold water.

2. How Does the Calculator Work?

The calculator uses the mixed temperature formula:

\[ T_{mixed} = \frac{(V_{hot} \times T_{hot} + V_{cold} \times T_{cold})}{(V_{hot} + V_{cold})} \]

Where:

\( V_{hot} \) — Volume of hot water (L)
\( T_{hot} \) — Temperature of hot water (°C)
\( V_{cold} \) — Volume of cold water (L)
\( T_{cold} \) — Temperature of cold water (°C)

Explanation: The formula calculates a weighted average based on the volumes and temperatures of the two water samples.

3. Applications of Mixed Temperature Calculation

Details: This calculation is useful in various applications including plumbing, HVAC systems, industrial processes, aquarium management, and preparing water baths for scientific experiments.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure volumes are positive values and temperatures are in Celsius. The sum of volumes must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for other liquids besides water?
A: The formula works best for substances with similar specific heat capacities. For different liquids, additional factors may need to be considered.

Q2: What if I'm using different volume units?
A: The formula works with any consistent volume units (mL, gallons, etc.) as long as both volumes use the same unit.

Q3: Can I mix more than two water samples?
A: Yes, you can extend the formula by adding more terms to both numerator and denominator for additional water samples.

Q4: Does this account for heat loss to the environment?
A: No, this formula assumes an ideal system with no heat loss to the container or surroundings.

Q5: What temperature scale should I use?
A: The formula works with any temperature scale (Celsius, Fahrenheit, Kelvin) as long as all temperatures use the same scale.