# Pressure and volume relationship lab

In this simple experiment, you will use a Gas Pressure Sensor and a gas syringe to study the relationship between gas pressure and volume. Temperature and. The gas pressure is the overall force of all these collisions divided by the area of the The relationship of a gas with pressure and volume was developed by the. different measurements of gas and use our data that we collect to graphically show this relationship. Purpose: To identify how pressure, volume, temperature.

## Physics for Scientists and Engineers: Lab 12 PreLab

I had the students pour water into a bucket, weigh bucket, then balance it on the platform, reading the volume in the syringe. Here is the data as they recorded it: Pressure-volume relation for air in a cylindrical plunger The cylinder has a cross-sectional area 6.

It took a bit more nudging than I had expected for them to realize that there was atmospheric pressure at the beginning. Then one of the students did a quick fit with gnuplot and got that everything fit fairly well.

We tried measuring the cross-sectional area of the syringe two ways: We ended up using the estimate from measuring the scale on the side of the syringe. I redid the gnuplot script to use proper metric units: Because the same amount of substance now occupies a greater volume, hot air is less dense than cold air.

The substance with the lower density—in this case hot air—rises through the substance with the higher density, the cooler air.

A sample of gas cannot really have a volume of zero because any sample of matter must have some volume. Note from part a in Figure 6.

### Pressure and volume lab | Gas station without pumps

Similarly, as shown in part b in Figure 6. The Relationship between Volume and Temperature.

- 6.3: Relationships among Pressure, Temperature, Volume, and Amount

The temperature scale is given in both degrees Celsius and kelvins. The significance of the invariant T intercept in plots of V versus T was recognized in by the British physicist William Thomson —later named Lord Kelvin.

**Boyle's Law**

At constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature in kelvins. This relationship, illustrated in part b in Figure 6. The Relationship between Amount and Volume: InAvogadro postulated that, at the same temperature and pressure, equal volumes of gases contain the same number of gaseous particles Figure 6. Equal volumes of four different gases at the same temperature and pressure contain the same number of gaseous particles.

Because the molar mass of each gas is different, the mass of each gas sample is different even though all contain 1 mol of gas. Adiabatic compression data is stored in Run 2 and adiabatic expansion data is stored in Run 3.

### f10l12 [Physics Labs]

Use the Calculator to begin a New calculation. Make a graph of ln P for isothermal Run 1 on the y-axis vs. Perform a linear fit and record your slope. Compare this with Make a graph of P isothermal Run 1 vs.

Drag over the extent of the PV curve and obtain the area, i. Perform a linear fit to the higher-volume, lower-pressure data near the beginning of the process before heat leaves the system and record the slope: Perform a linear fit to the better quality data and record the slope: For the compression stroke Run 2 plot Pcorr vs.

For numerical reasons, avoid the end points of the P vs. V curve, especially the vertical constant volume region! Obtain the area under this lower pressure curve. Again avoiding the end points. Compare with the measured ratio for the Otto cycle in reverse as calculated in step 3.