Phys 132 Lab 1

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Apr 3, 2024

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UIC Physics Department Physics 132 Laboratory Experiment Boyle’s Law (Experimental Procedure and Data Analysis) This part of the lab must be completed entirely independently of your lab partner(s) or other students. Make sure that you avoid unauthorized collaboration and plagiarism. All suspected violations of the Standards of Conduct will be referred to Student Judicial Affairs. Lab Section (Day & Time): Ffii dO&J \OOM Name— Station #: 1. Make sure that the power for the Pasco Interface 850 is turned on. 2. Check that the Quad Pressure Sensor is plugged into the Pasport Sensor 1 port on the interface and the 60 mL syringe is connected via silicone tubing to the channel 1 of the pressure sensor and two-way valve as shown in Figure 1. 3. Open Pasco Capstone software from the desktop. 4. Click Hardware Setup under Tools on the left and check that the pressure sensor is recognized by the interface. |gEtng 5. Drag “Digits” dispay into the center of the workspace. On the display, click <Select jez R — Measurement> and choose [gEagE “Absolute Pressure 1 (kPa)”. (Digics tt)e heve] The computer screen should look K8 ’ something like Figure 2. L 2 e e “':E; 6. Turn the two-way valve to the open position. The diagram below shows what this looks like. in “Control” menu. 7. To measure atmospheric pressure click “Record” button p _ Racord The atmospheric pressure value measured by the sensor will appear on display. Boyle’s Law Page 2 of 7

UIC Physics Department Physics 132 Laboratory Experiment 8. Record the atmospheric pressure measured by sensor and the room temperature below. Patm,sensor = qq . ‘/‘ H kPa Troom = 20 ec Then click “Stop” button to terminate recording. The acceptable range of values is 101.6 + 3.3 kPa. If it does, then the apparatus is ready for use. If it does not, contact immediately your Lab TA or Lab Assistant. 9. Record the atmospheric pressure, Pgem cmug (in centimeters of Mercury, cmHg), shown by a room barometer. Patmemig = 4.9 cmHg Convert the atmospheric pressure in centimeters of mercury to kilopascals (1 cmHg = 1.33 kPa) and record its value below. 3% <P ™ q cm\’\Cj X ,\é__;\,_— = qq, (o\&PC\ Patm,barometer = qub ... kPa SR Question 1. Are the atmosperic pressures measured by sensor and barometer the same. If not, why do they differ from each other? TTne OtnRPenc pressues Ave 0Nly 0.2 KPo 00y and R dvipesenc® o e AR 10 & o QW’C\\‘L meaSuement Aove Yy Yhe sensaor yowner Ahan e VavowerLr. The sensor, syringe and two-way valve are attached to each other by silicone tubes and we need to estimate the volume of air trapped in the tubes. There are two kind of silicone tubes used, 0.32 cm and 0.64 cm in diameter. Use a ruler to estimate the volume of air trapped in the tube attached to the syringe by using the following equation V., = 7 ( ) L, where d is diameter and L is the length of the tube, and record its value below. Weoned = A (0 U"‘C"“‘) (¥Bon) = 2.713 etk 1.3 N . 2 Vewve = -2\ cm3 (0BT e\ (‘5 Tom )= Y.9% em Viove 2 = T (.wm._m- ) 2.7+ H.5F cm®= T-3\em® Now, let’s look at the relationship between volume and pressure 10. Set the syringe plunger to the 40 cm3 and turn the two-way valve to the closed position. The diagram to the right shows what this looks like. Boyle’s Law Page 3 of 7

i Laboratory Experiment UIC Physics Department Physics 132 Note: Measure the volume at the position of black rubber seal marked with red arrows as shown in the figure to the right, not at the inverted V-shaped projection. The syringe barrel has major scale divisions marked every 5 milliliters (ImL = 1 cm3), and minor scale divisions every 1.0 mL. The volume should be estimated to within +0.5 mL. ; Esnmated ' volume =38.5 ml 11. click “Record” button and slowly push the plunger in to 38 c¢m3 position. 12. When you reach the the plunger final position, record the pressure, = P, in Table 1 and then click “Stop” and open two-way valve and set the “‘j@ syringe plunger back to the 40 cm3 mark. .z AT 13. Calculate the total volume V = Vi, inge + Viype and record the result in Table 2. Repeat steps 10 - 13 for the final syringe volumes listed in Table 1 (three times for each volume). 14. Estimate the uncertainties in volume measurements, gy, and record the values in Table 2. Explain your reasoning. “The Uncertainkies ) Nolowme fov gy VelRs yexween 37-3\ - NT7-3\ 05 205 am’. erasse the winor SCale BF e s rivge oovyel \mm UV- 65 cde'{«j LOwLOr L.Ocm®: ond half of daat 15. Calculate 1/V values and the uncertainties associated with these values, 07,1, and record the results in Table 2. 16. Calculate the average pressure, (P), for each volume and record the results in Table 2. 17. Make areasonable estimate of uncertainty in pressure measurements, o(py , and record its values in Table 2. —Tae uncerraintes 1 preggure wraguve e N e AR shewrlayol AevioRang 08 Xre Pressuve O enc\n \JO\UW\Q gy Ex. Sxpvdod SeviaYion of 94910 kPa 12 O. 0\\7"’ WX o gl 9910 kPelis tee Guercige QEeRUE ar o yoluwie OfF Y7.2lcm® Boyle’s Law Page 4 of 7

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UIC Physics Department Physics 132 Laboratory Experiment 18. For each volume, V, calculate PVand record its values in Table 2. 19. Calculate the average value of the PV, (PV), and write its value below Py =H(p0O% . A KkPa-cm3 20. Calculate the uncertainties associated with PV, gpy, and record the results in Table 2. 21.Use the graph paper on page 7 (labeled with “P vs 1/V graph”) to plot a graph of pressure on the y-axis versus 1/V on the x-axis. Add error bars on the graph and draw a best-fit line through the data. Note: The origin of the graph should be (0,0). Choose a suitable scale for each axis so that the data points fill the graph as completely as possible. 22. Describe the shape of the graph. Draw a best-fit straight or curved line, whichever seems appropriate, to illustrate how the pressure of air changes as the volume changes. T ool 1S \inear . BS e Npwe of IN increases ,4ne \JOlue OF ¢ increaies w g Some proporyiovn. Another way of expressing an inverse relationship between two variables (P « 1/V) is to say that the product of the two variables is a constant (P X V = constant). 23. Use the graph paper on page 7 (labeled with “PV vs V graph”) to plot a graph of the PVon the y- axis versus V on the x-axis. Add error bars on the graph. 24. Add a line representing the (PV) value. Question 2. Do the error bares overlap the line representing the (PV) value? Yes/No Question 3. Is there evidence for a systematic error in any of your measurements of pressure and/or volume? State clearly your evidence either for or against the presence of a systematic error. “There. 15 enidence for o sNuSFEMaric @OV PReauk. Fne Crapn Of PNy N shedld e mioneszenial \ine Dok S ot COMIYEN horizormal Vornwer S \inear and pnoving Lpw arcls s\igwtly. TThe vawe of PN (Mo2% .0 kia-om®) @4 QL Ydwwe of U2 Bl e’ Lalndi plotied on e Qg doesn b £ony 1 Yne Vesx ik vine SUIRSANG Lrvoy 1) AW WwasUR ey O pressure o NS \yp\uwe. Boyle’s Law Page 5 of 7

e UIC Physics Department Physics 132 Laboratory Experiment 25. Briefly describe the most important conclusions you have made from your measurements: A\ hawe concuded gk e meajue yemMs \Noue een Aokein Pedistly houeder They Can_Shu e wope ocoyoae. |\ Noue A0 \earned thod Pressore and volowe agve 9roportionate ‘o one_anciver . Adecreole 1 yolewy increasey The preessove. \n e Aow\e O8 [oluwie Clecznges }'(’\Om Y731 am® fo 7378 a3, presiure Weceases Ao 3410 ko ks V. 22 WPa, g Proves Boyle's LOw and Ve experimenta| (onditions Ore rignk for s Javo. Table 1 Veyringe Trial #1 Trial #2 Trial #3 (cm?) P P P (kPa) (kPa) (kPa) 40 (99.0% 49.1 qQ4q.\)\ B 38 [\02.9% |\O\. L] [\0%.H(p o 36 [\06-%9 [101.43 [1077. |\ 34 WL W03z W27 32 [Wo.oy 115,09 |\\6.24 30 1172).29 [121.33 |121.25 N Table 2 v oy 1/v 1w (P) ap) PV Opy (cm3) | (cm3) | (cm3) | (cm3) | (kPa) (kPa) | (kPa-cm3) | (kPa-cm3) U120 [ os (0021 2220|9910 |0-03 |Ue®% .42 | 1.5 Us. BV [ 0.5 10.022\ |2.4420™1072.q [0.0222 {19233 | (o(g .20 43,30 | 0-5 0.0231 26700 0T.04 |0.U2U0 [M635.90 |S .55 41,31 | 0.5 00042 292007 1.6y 8.22277 [HS®B .20 |56 - 24 3291 | 6.5 (00254 B0 1599 0.2994 M91.5T 159.02 1.8 05 |0.0263 3Ax07)121. 52 0.0100 H%260. Y5 |00, 0% Boyle’s Law Page 6 of 7

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\m el i = (] * D [0 =3 = [ B4 "PVV. i

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