# Compressed-Gas Spray

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Compressed-gas dusters spray a gas such as difluoroethane (DFE) to remove dust from electronics. When gas exits the valve, liquid DFE in the container vaporizes to maintain vapor-liquid equilibrium. The energy to vaporize the liquid is obtained by cooling the remaining liquid; the container is modeled as adiabatic in this Demonstration. Decreasing the liquid temperature decreases its saturation pressure, which lowers the driving force, and thus the gas flow rate decreases. For smaller initial volume fractions of liquid (change with a slider), the liquid cools faster.

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Contributed by: Rachael L. Baumann (October 2015)

Additional contributions by: John L. Falconer

(University of Colorado Boulder, Department of Chemical and Biological Engineering)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The total volume of the can is 0.375 L, and the initial volume of liquid in the can is:

,

where is the initial volume fraction of liquid.

Initially all contents are at room temperature (300 K), and the pressure inside the can is the saturation pressure at 300 K. The Antoine equation is used to calculate :

,

where is in bar, is temperature (K) and , and are Antoine constants.

The total moles are equal to the liquid moles plus the vapor moles :

,

,

,

where is the liquid molar density (mol/L), is the ideal gas constant ([L bar]/[mol K]), and and are the liquid and vapor volumes at any time.

The liquid volume is found by rearranging the equation for total moles:

,

with .

From an unsteady-state mole balance:

at , ,

where is time (s), is a constant (mol/[bar s]) and the air pressure outside of the can is 1 bar.

From the energy balance:

at , , where is the heat of vaporization (kJ/mol), and is the liquid heat capacity (kJ/[mol K]).

The screencast video at [1] shows how to use this Demonstration.

Reference

[1] *Compressed-Gas Spray* [Video]. (Aug 31, 2016) www.colorado.edu/learncheme/thermodynamics/CompressedGasSray.html.

## Permanent Citation

"Compressed-Gas Spray"

http://demonstrations.wolfram.com/CompressedGasSpray/

Wolfram Demonstrations Project

Published: October 19 2015