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How to compute dilution volume in Python using UliEngineering

You can easily compute the volume needed for dilution using the UliEngineering Python library:

dilution_volume.py
from UliEngineering.Chemistry.Stoichiometry import dilution_volume
from UliEngineering.EngineerIO import *

# Compute volume to dilute 1M to 0.1M (1L final)
volume = dilution_volume("1M", "0.1M", "1L")
print(f"Volume to add (1M→0.1M, 1L): {format_value(volume, 'L')}")

# Compute volume to dilute 2M to 0.5M (500mL final)
volume = dilution_volume("2M", "0.5M", "500mL")
print(f"Volume to add (2M→0.5M, 500mL): {format_value(volume, 'L')}")

# Compute volume to dilute 5M to 1M (2L final)
volume = dilution_volume("5M", "1M", "2L")
print(f"Volume to add (5M→1M, 2L): {format_value(volume, 'L')}")

Example output

dilution_volume_output.txt
Volume to add (1M→0.1M, 1L): 900 mL
Volume to add (2M→0.5M, 500mL): 375 mL
Volume to add (5M→1M, 2L): 1.60 L

The dilution volume calculation determines how much solvent to add to a concentrated solution to achieve a desired lower concentration. This is essential for laboratory work, solution preparation, and chemical process design. It uses the dilution equation which states that the product of initial concentration and volume equals the product of final concentration and volume.

The volume of solvent to add is computed using the formula: $V_{add} = V_{final} - V_{initial} = V_{final} - \frac{C_{final} \times V_{final}}{C_{initial}} = V_{final} \times \left(1 - \frac{C_{final}}{C_{initial}}\right)$, where $V_{add}$ is the volume to add, $C_{initial}$ and $C_{final}$ are the initial and final concentrations, and $V_{final}$ is the final desired volume.

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