1) The next challenge for students is to investigate the relationship between pressure and volume. Theytake a syringe with a capacity of 30 mL and the same pressure probe they usedin part 1. The plan is to attach the syringe to the probe with an initial volume of air (such asshown 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, andrecord all their data in Table 1. As they adjust the syringe, they discover that theycan adjust the volume with an uncertainty of 0.2 mL. By maintaining the volume, the fluctuationof 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 thegas 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 filedetails of the experiment, calculate the number of moles for an initial volume of 5.0 mL in thesyringe as well as its uncertainty (using the propagation of uncertainty).NB. You must consider the uncertainty of pressure, volume, and temperature in youruncertainty propagation calculations.

300 Linear Fillor Deis Set )| 7 Linear Fit for. Data Set 2 |Y 71(Sope) 15236+06 bYintercept: -0.5230 Comelion 1080 FINBE: 0 2153 Linear Fitfor. Data Set | Y RMSE 0.3136 y = mx+D m / Soget: 5.0125+05 +- 1085 D /Y Inloroopt): 0.02306 +2 0.1171 Correlation: 1.000 RMSE: 0 1407 200 100 0.00005 0.0001 0.00015 D.DO02 (5.31287098-05, 289.3) XVolume 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