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Related Concept Videos

Van der Waals Equation01:10

Van der Waals Equation

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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
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When very thin cylindrical tubes, called capillaries, are dipped in a liquid, the liquid rises or falls in the tube compared to the surrounding liquid. This phenomenon is called capillary action. Capillary action occurs due to the combination of two opposing forces: the cohesive forces of the liquid, which cause it to stick to itself and form a rounded shape, and the adhesive forces between the liquid and the walls of the container, which cause the liquid to be attracted to the container walls.
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Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws. 
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The ideal gas equation is an equation of state that relates the state variables pressure, volume, temperature, and the number of moles of a hypothetical gas. This equation is a combination of four empirical laws, namely Boyle’s Law, Charles’s Law, Avogadro’s Law, and Gay-Lussac’s Law. When the proportionalities of the above four empirical laws are combined, it results in a single proportionality constant known as the universal gas constant.
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A simple capillary viscometer based on the ideal gas law.

Le Hoang Phu Pham1, Luis Bautista1, Deyvid C Vargas1

  • 1Department of Mechanical Engineering, The Catholic University of America Washington D.C. 20064 USA luox@cua.edu +1 202 319 5173 +1 202 319 6952.

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This study introduces a low-cost capillary viscometer for measuring fluid viscosity using the ideal gas law and pressure drop. The user-friendly device offers an affordable alternative to expensive commercial viscometers.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • Viscosity is a crucial fluid property, offering molecular insights into fluid behavior.
  • Traditional viscometers often require large sample volumes and are costly.
  • Existing microfluidic viscometers, while using small volumes, remain expensive.

Purpose of the Study:

  • To develop a simple, inexpensive, and user-friendly capillary viscometer.
  • To enable viscosity measurements using small sample volumes and various shear rates.
  • To provide an accessible alternative to high-cost commercial viscometers.

Main Methods:

  • Utilized the principle of the ideal gas law to measure pressure drop across capillary tubing.
  • Calculated pressure drop via changes in enclosed air volume, indicated by air-liquid interface displacement.
  • Assembled the viscometer using readily available materials without internal sensors or complex programming.

Main Results:

  • Successfully measured viscosity for water, acetone, 2% fat milk, and two glycerin solutions.
  • Achieved high accuracy, with deviations within 4% for most liquids, well within experimental error.
  • Demonstrated consistency and reliability compared to known viscosity values.

Conclusions:

  • The developed capillary viscometer is cost-effective, portable, and accurate.
  • It offers a viable, low-cost alternative for viscosity measurements.
  • The device is suitable as an educational tool for K-12 students to explore fluid dynamics.