Verification of ideal gas law experiment

  • #1
Voltux
30
3
TL;DR Summary: I measured the mass of CO2. Can someone verify my calculations?

I took a soda bottle and filled it with Carbon Dioxide then weighted its mass as I changed pressures. My figures get very close (5-10%) within the calculated values for psig but not psi-absolute. Can someone confirm my results are correct? I think of this as confirmation bias but in a way I expected the values to be closer to the psia instead of psig.

Procedure
An empty "2L" bottle was filled with water to verify its actual volume. Approximately 2054g (mL) was measured on an 0.1g resolution electronic Ohaus balance.

From this the bottle was then emptied, weighted again after drying, then squeezed out of air followed by being filled with CO2 through a one-way valve. The bottle was then incrementally weighed followed by adjusting the pressure on the regulator and repeating the experiment for the values noted.

After the experiment values were placed in a spreadsheet, and calculated to adjust units along with measurements for ambient pressure and temperature were taken from similar electronic instruments.

The experiment suggests that the relationship between pressure and mass are linear in nature over the range explored in this experiment. There is expected to be some error from the reference pressure point since it was obtained by an analog gas regulator gauge.

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  • #2
Was there air in the bottle or only CO2?? Does your legend make sense?
 
  • #3
hutchphd said:
Was there air in the bottle or only CO2?? Does your legend make sense?
The air in the bottle was removed by squeezing the bottle until essentially flat then placing a cap on the bottle that has a one way valve. The valve is a ball lock mechanism that is used to pressurize kegs. For the legend I just tried to highlight what were calculated values to help avoid confusion from the large amount of data.

  • Pressure was read from the gas regulator
  • Weight was from the electronic balance
  • Atmospheric/room pressure was measured from an electronic barometer
  • Temperature from a digital temperature sensor

Hope this helps. Any thoughts would be appreciated.

Thank you!
 
  • #4
Did you measure the temperature inside the bottle after it was filled? How long after filling the bottle did you weigh the bottle?
 
  • #5
The pressure in the soda bottle before adding any CO2 is still 1 atm no matter how flat it is. It is not rigid under compression. So what do you expect the graph to do at zero?
 
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  • #6
As I read it, when you weighed the "empty" bottle it was full of air. You then removed this air before adding CO2. You need to correct your measured weights for the weight of this air.
 
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Related to Verification of ideal gas law experiment

What is the ideal gas law and how is it verified experimentally?

The ideal gas law is an equation of state for a hypothetical ideal gas. It is usually stated as PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the universal gas constant, and T is temperature in Kelvin. To verify this law experimentally, one can measure the pressure, volume, and temperature of a gas, and then check if the product PV divided by nT remains constant and equals the value of R.

What equipment is needed to verify the ideal gas law in a laboratory setting?

To verify the ideal gas law, you typically need a gas syringe or a sealed container with a known volume, a pressure sensor or manometer, a thermometer, and a way to measure the amount of gas (usually in moles). Additionally, a data acquisition system to record the measurements can be very useful.

What are the common sources of error in an ideal gas law experiment?

Common sources of error include inaccuracies in measuring temperature, pressure, and volume. Leaks in the apparatus, non-ideal gas behavior at high pressures or low temperatures, and impurities in the gas can also affect the results. Ensuring that the gas behaves ideally and that all measurements are precise and accurate is crucial for minimizing errors.

How does temperature affect the verification of the ideal gas law?

Temperature is a critical factor in the ideal gas law. The law assumes that the gas molecules move in random motion and that their kinetic energy is directly proportional to the temperature in Kelvin. If the temperature is not accurately measured or if it fluctuates during the experiment, it can lead to incorrect results. Ensuring a stable and accurately measured temperature is essential for verifying the law.

Why might real gases deviate from the ideal gas law, and how can this be accounted for in experiments?

Real gases deviate from the ideal gas law at high pressures and low temperatures because the assumptions of the ideal gas law (negligible molecular volume and no intermolecular forces) are no longer valid. To account for these deviations, one can use the Van der Waals equation, which introduces correction factors for pressure and volume. Alternatively, conducting experiments at conditions where gases behave more ideally (moderate temperatures and low pressures) can also help in obtaining results that closely align with the ideal gas law.

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