1) The next challenge for students is to investigate the relationship between pressure and volume. They take a syringe with a capacity of 30 mL and the same pressure probe they used in part 1. The plan is to attach the syringe to the probe with an initial volume of air (such as shown in Figure 2) and then compressing or expanding the volume of the syringe, measure the pressure at different volumes of air. They start with an initial volume of 5.0 mL, repeat the experiment for 10.0 mL and 15.0 mL, and record all their data in Table 1. As they adjust the syringe, they discover that they can adjust the volume with an uncertainty of 0.2 mL. By maintaining the volume, the fluctuation of the pressure reading tells them that the pressure uncertainty is 0.05 kPa.

The students measured the ambient temperature as 21.0 0.2C and they assume that the gas temperature in the syringe does not change when they take the pressure reading

1a)From the data in Table 1 and the ambient temperature reported in the data file details of the experiment, calculate the number of moles for an initial volume of 5.0 mL in the syringe as well as its uncertainty (using the propagation of uncertainty). NB. You must consider the uncertainty of pressure, volume, and temperature in your uncertainty propagation calculations.

Volume 5mL Volume 10mL Volume 15mL 1/Vol P 1/Vol P 1/Vol P Graph 3: Pression en fonction de l'inverse des volumes initiaux (1/L) (kPa) (1/L) (kPa) (1/L) (kPa) 200 101,31 200 202,03 200 304,38 Regression Lineaire de: Volume 15mL | Pression 100 50,56 P = mx+b IN 100 101,1 100 152, 12 m (Pente): 1,522 +/- 0,0004054 kPa/1/L 3 66667 33,83 66667 67,5 66667 101,5 300 b (Ordonnee en 0): -0,03259 +/- 0,04386 kPa A 50 25,28 50 49,69 50 76,03 Correlation: 1,000 5 40 20,46 40 40, 13 40 60,86 Erreur Type: 0,05260 kPa 6 7 8 9 200- Regression Lineaire de: Volume 10mL | Pression 10 P = mx+b 11 m (Pente): 1,013 +/- 0,003183 kPa/1/L Pression (kPa) 12 b (Ordonnee en 0): -0,4136 +/- 0,3444 kPa 13 Correlation: 1,000 Erreur Type: 0,4130 kPa 14 15 16 17 100- Regression Lineaire de: Volume 5mL | Pression P = mx+b 18 m (Pente): 0,5059 +/- 0,0009425 kPa/1/L 19 b (Ordonnee en 0): 0,08008 +/- 0,1020 kPa 20 Correlation:1,000 Erreur Type: 0.1223 kPa 21 22 23 0- 24 100 200 Afficher le Bureau 25 1/Volume (1/L) 26Volume initial Volume (mL) Pression (kPa) (ml] + 0,2 mL + 0,05 kPa + 0,2 mL 5,0 101,31 10,0 50,56 5,0 15,0 33,83 20,0 25,28 25,0 20.46 5,0 202,03 10.0 101,10 10,0 15,0 67.50 20,0 49,69 25,0 40.13 5,0 304,38 10,0 152,12 15,0 15,0 101,50 20,0 76,03 25,0 60,86