Calculate vapor pressure from temperature with the Antoine equation, or temperature from pressure, using built-in water and solvent constants or your own.

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Pressure From Antoine Equation Formula

The following example problem outlines the steps and information needed to calculate the Pressure From the Antoine equation.

P = 10 (A- (B/(C+T)))

Variables:

  • P is the saturation vapor pressure. Custom constants in this calculator must use log10(P/mmHg) = A โˆ’ B/(T/ยฐC + C); do not enter bar/K constants unchanged.
  • A, B, and C are Antoine constants for a given substance (they depend on the pressure and temperature units used); T is the temperature (typically in ยฐC for this form).

How to Calculate Pressure From Antoine Equation?

The following steps outline how to calculate the Pressure From the Antoine equation.


  1. Choose a preset or enter custom Antoine constants A, B, C and their valid temperature range. The water preset covers 1โ€“100 ยฐC; ethanol โˆ’57โ€“80 ยฐC; benzene 14.55โ€“80.92 ยฐC; methanol 15โ€“84 ยฐC; acetone โˆ’13โ€“55 ยฐC; toluene 6โ€“137 ยฐC. The benzene set is converted from the NIST Chemistry WebBook bar/K fit. Stay within the fitted range; this pure-component correlation does not describe mixtures.
  2. Next, gather the formula from above = P  = 10 (A- (B/(C+T))).
  3. Finally, calculate the Pressure From the Antoine equation.
  4. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

A = 8, B = 1708, C = 233, and T = 99 ยฐC

P = 10(8 โˆ’ 1708/(233 + 99)) โ‰ˆ 716.8391 mmHg โ‰ˆ 95.5707 kPa. Select Custom and enter these constants with temperature 99 ยฐC. This is an algebraic example with no supplied substance or fit range; it does not establish physical validity. For the inverse calculation use T = B/[A โˆ’ log10(P/mmHg)] โˆ’ C.