# Multiple Volume Expansion Method

Selective CO₂ measurement can be done with the Multiple Volume Expansion method (MVE method).
The MVE method was invented and patented by Anton Paar (AT 409673, GB 237 3584, US 6,874,351). It is the most accurate way of selectively measuring dissolved CO₂ in beverages.

## Fundamental gas laws relevant for CO₂ measurement in beverages

Henry‘s law states that at equilibrium the concentration of dissolved gas in a liquid is proportional to the partial pressure of that gas above the liquid.

Dalton‘s law states that the (total) pressure measured in a gas phase is the sum of the partial pressures of all gases present in the gas phase. In the case of beverage analysis, these are the carbon dioxide, oxygen, and nitrogen partial pressures as well the vapor pressure of water.

The real gas law describes the behavior of an ideal gas in the gas phase. As gases like CO₂ deviate from the ideal behavior, the gas law is expanded by Z to consider the non-ideal behavior.

## How does the Multiple Volume Expansion method work?

 1st Step The measuring chamber is completely filled with sample and mechanically closed by valves. 2nd Step The volume of the measuring chamber is expanded. Pressure and temperature equilibrium is generated. Equilibrium pressure and temperature are measured. 3rd Step The measuring chamber volume is further expanded, equilibrium is generated, and pressure and temperature are measured again. Final Step The two pressures/temperatures are used for CO₂ determination and dissolved air compensation.

## Why does the Multiple Volume Expansion method work?

The patented Multiple Volume Expansion method makes use of the fact that the solubility of air in beverages is much lower than that of CO₂. Due to the difference in solubility, when expanding the volume of the measuring chamber, the partial pressure of air decreases much more than that of CO₂. The difference between the equilibrium pressure and temperature results measured at the first and second volume expansions of the measuring chamber is used to determine the amount of dissolved air and mathematically calculate and compensate for this amount. The result is the true CO₂ concentration in the beverage.

## Benefits

• The MVE method is not influenced by snifting

Traditional pressure/temperature (P/T) methods require snifting. This is done by releasing the overpressure in the headspace to the ambience in order to correct the influence of other gases; BUT CO₂ also gets released.
Both the CO₂ and the air loss are temperature-dependent.
Both the CO₂ and the air loss are affected by the size of the headspace and the snifting time.
Thus, variable amounts of CO₂, O₂, and N₂ are removed from the package prior to the equilibration and P/T measurement.

• MVE method is not influenced by methods and tables

Traditional P/T methods require tables for the CO₂ calculation.

This fact leads to inaccurate results on the one hand as interpolating is sometimes necessary (e.g. pressure reading of 21 psi, but only 20 and 22 psi are available in the table), and on the other hand it makes the measurement itself user-dependent due to many manual steps.

• The MVE method is not influenced by altitude

The ambient air pressure at an altitude of 1000 m is about 10 % smaller than at sea level.

When snifting a beverage package at a high altitude, more CO₂ and air will be lost to the ambience.

Therefore, the CO₂ value of nonselective P/T methods is influenced by altitude.

This gets even worse if a relative pressure sensor is used because then also the pressure value measured in the beverage headspace becomes altitude-dependent.

• The MVE method is not influenced by dissolved air (N2 and O2) in the sample

In nonselective single P/T methods, the partial pressures of both CO2 and air are calculated as CO2.

The partial pressure of air depends on the filling technique: Filling with N2 cover gas will increase the CO2 result, filling with CO2 cover gas will not affect the result.

Conclusion: If there is no CO2 in the package, but N2, the pressure gauge will still give a reading even though there is no CO2 in the beverage container.

## References

“Selective CO2 measurement for beverages with the new multiple volume expansion method”; Brauwelt International 2004/III; pages176-178
“Measuring dissolved gases in packaged beverages”; Brauwelt International 2005/II; pages 100-107