Equation of state for ideal gases with Cobra SMARTsense and measureAPP (Gas laws: Boyle-Mariotte, Gay-Lussac, Amontons)

Principle

The composition of a gas depends on its temperature, pressure and the amount of substance. For the limiting case of an ideal gas, these state variables are linked by the general equation of state, from which special relationships can be derived for certain changes in the state.

Advantages

• Unique system: All gas laws can be measured with one experimental setup
• Very compact setup, can be completely stowed away in the cabinet and is ready for use at any time
• Very clear: The volume can be read directly from the gas syringe, temperature and pressure are measured in real time via sensors
• The temperature is kept constant or evenly increased via a water bath (integrated in the experimental setup)
• Direct and versatile measurements with Cobra SMARTsense sensors
• The free software measureAPP enables an easy setup and digital acquisition of measured values

Tasks

For a constant quantity of gas (air), investigate the correlation of

1. Volume and pressure at constant temperature (Boyle's and Mariotte's law),
2. Volume and temperature at constant pressure (Gay-Lussac's law),
3. Pressure and temperature at constant volume (Charles' or Amontons' law).

Calculate the gas constant, as well as the heat coefficient, the thermal stress coefficient and the coefficient of compressibility from the relationships obtained.

Learning obejctives

• Pressure, volume and temperature
• Heat coefficient
• Thermal stress coefficients
• Coefficient of compressibility
• General equation of state of ideal gases
• General equation of state
• Boyle and Mariotte's law
• Gay-Lussac's law
• Charles' (Amonton's) law

Uses the free measureAPP (14581-61). Tablet is not part of the scope of delivery.