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012-08375A

Small Piston Heat Engine

15

5.3  Activity: Determining Volume and Pressure

a.

Take any measurements needed to determine the volume and pressure of air in the system at
all four points in the engine cycle.  You should do this rapidly to avoid air leakages around the
piston and summarize the measurements with units in the space below.

b.

Next you can use your measurements to calculate the pressure and volume of the system at point

a

.  Show your equations and calculations in the space below and summarize your results with

units.  Don't forget to take the volume of the air in the tubing and can into account!

P

a

=

V

a

=

c

. Use the measurements at point 

b

 to calculate the total volume and pressure of the air in the

system at that point in the cycle.  Show your equations and calculations in the space below and
summarize your results with units.

P

b

=

V

b

=

d

. What is the height, 

y

, through which the added mass is lifted in the transition from 

b

 to 

c

?

e

. Use  the  measurements  at  point 

c

  to  calculate  the  total  volume  and  pressure  of  the  air  in  the

system  at  that  point  in  the  cycle.    Show  your  equations  and  calculations  in  the  following
space  and  summarize  your  results  with  units.

P

c

=

V

c

=

f

. Remove the added mass and make any measurements needed to calculate the volume and

pressure of air in the system at point 

in the cycle.  Show your equations and calculations in the

space below and summarize your results with units.

Summary of Contents for TD-8592

Page 1: ...012 08375A SMALL PISTON HEAT ENGINE APPARATUS Instruction Manual and Experiment Guide for the PASCO scientific Model TD 8592...

Page 2: ......

Page 3: ...exclamation point within an equilateral triangle is intended to alert the user of the presence of important operating and mainte nance servicing instructions in the literature accompanying the applia...

Page 4: ...Section Page Copyright Warranty and Equipment Return ii Introduction 1 Equipment 1 Experiments 1 Operation of a Heat Engine 3 2 Charles Law 5 3 Boyle s Law 7 4 Combined Gas Law Gay Lussac s 9 5 The Ma...

Page 5: ...manual is copyrighted and all rights reserved However permission is granted to non profit educational institutions for reproduction of any part of the manual providing the reproductions are used only...

Page 6: ...diameter 15 9 mm 0 1 mass of piston and platform 15 9 g 06 Air chamber Figure 2 Three hose configurations one with one way check valves and one with a clamp Figure 2 and one plain piece of tubing not...

Page 7: ...2 Small Piston Heat Engine 012 08375A Notes...

Page 8: ...tup Note Use a maximum mass of 100 grams in the experiment A larger mass will cause the valve seals to leak Procedure Figure 1 1 Setup for the Heat Engine Close the shut off valve on the tubing from t...

Page 9: ...4 Small Piston Heat Engine 012 08375A Notes...

Page 10: ...apparatus is the atmospheric pressure and is equal throughout the range of operation of the piston Theory Setup Procedure Place the air chamber in a container of hot water After the chamber equilibra...

Page 11: ...6 Small Piston Heat Engine 012 08375A Notes...

Page 12: ...evel Convert the height measurements to gas volume measurements Hint The diameter of the piston is 32 5 mm Prepare a graph of pressure versus volume Therefore at a fixed temperature the pressure will...

Page 13: ...8 Small Piston Heat Engine 012 08375A Notes...

Page 14: ...tional to the pressure P where pressure 1 P Combining these we have V aT P The combined gas law predicts that for a given mass of gas if V is held constant P is proportional to T Secure the piston jus...

Page 15: ...ne 012 08375A Place the air chamber in the Pyrex container and turn on the hot plate Procedure Record the temperature and pressure as the water heats Display a graph of temperature versus pressure in...

Page 16: ...determined by finding the enclosed area on a P V diagram Essentially you are comparing useful mechanical magy work which we hope you believe in and understand from earlier studies with the accounting...

Page 17: ...room temperature water and another with hot tap water or preheated water at about 60 70 C The engine cycle is much easier to describe if you begin with the piston resting above the bottom of the cyli...

Page 18: ...ion of the Engine Cycle a Predicted transition a b Close the system to outside air but leave the can in the cold reservoir Make sure the rubber stopper is firmly in place in the can What should happen...

Page 19: ...a Cycle To calculate the thermodynamic work done during a cycle of this engine you will need to be able to plot a P V diagram for the engine based on determinations of the volumes and pressures of th...

Page 20: ...account Pa Va c Use the measurements at point b to calculate the total volume and pressure of the air in the system at that point in the cycle Show your equations and calculations in the space below...

Page 21: ...gram for your cycle and determine the thermody namic work for your engine 5 4 Activity Plotting and Interpreting a P V Diagram a Fill in the appropriate numbers on the scale on the graph frame that fo...

Page 22: ...grid and count the boxes in the area enclosed by the lines connecting points a b c and d Then multiply by the number of joules each box represents You will need to make careful estimates of fractions...

Page 23: ...asses are added to the platform This means that the number of moles of air decreases over time You can observe this by noting that in the transition from point d to point a the piston can actually end...

Page 24: ...cting Technical Support Before you call the PASCO Technical Support staff it would be helpful to prepare the following information If your problem is with the PASCO apparatus note Title and model numb...

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