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012-08375A

Small Piston Heat Engine

11

 Experiment 5:  The Mass Lifter Heat Engine

1

1

Priscilla W. Laws, et al. 

Workshop Physics Activity Guide

, 1996 by John Wiley & Sons, Inc.

 Reprinted by permission of John Wiley & Sons, Inc.

Your working group has been approached by the Newton Apple Company about testing a heat engine that lifts
apples that vary in mass from 50 g to 100 g from a processing conveyer belt to the packing conveyer belt that is
10 cm higher.  The engine you are to experiment with is a "real" thermal engine that can be taken through a
four-stage expansion and compression cycle and that can do useful mechanical work by lifting small masses
from one height to another.  In this experiment, we would like you to verify experimentally that the useful
mechanical work done in lifting a mass, 

m,

 through a vertical distance, 

y

, is equal to the net thermodynamic

work done during a cycle as determined by finding the enclosed area on a 

P-V

 diagram.  Essentially you are

comparing useful mechanical “

ma

g

y

” work (which we hope you believe in and understand from earlier studies)

with the accounting of work in an engine cycle as a function of pressure and volume changes given by the
expression:

Although you can prove mathematically that this relationship holds, the experimental verification will allow you
to become familiar with the operation of a real heat engine.

W

net

=

PdV

Optional:

A  computer-based laboratory system with barometer sensor

Equipment Required:

• Small Piston Heat Engine (1)
• Beakers (2), 1000 ml (to use as reservoirs)
• Ruler (1)
• Barometer pressure gauge (1)

• Calipers (1 set)
• Mass set, 20 g, 50 g, 100 g, 200 g
• Hot plate(1)
• Vat to catch water spills (1)

Figure 5.1.   Doing useful mechanical
work by lifting a mass, 

m, through a

height, 

y.

Figure  5.2  Doing thermodynamic
work in a heat engine cycle.

!

"

1

!

J

K

I

)

P

!

The Small Piston Heat Engine is ideal for use in the calculus-based experiment 18.10 of the 

Workshop

Physics Activity Guide

.  Following  is a slightly modified reprint of the experiment:

Содержание TD-8592

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

Страница 2: ......

Страница 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...

Страница 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...

Страница 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...

Страница 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...

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

Страница 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...

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

Страница 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...

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

Страница 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...

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

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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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