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012-05443A

Thermal Efficiency Apparatus

1

Introduction

The Thermal Efficiency Apparatus can be used as a
heat engine or a heat pump.  When used as a heat
engine, heat from the hot reservoir is used to do work
by running a current through a load resistor.  The
actual efficiency of this real heat engine can be ob-
tained and compared to the theoretical maximum
efficiency .  When used as a heat pump to transfer heat
from the cold reservoir to the hot reservoir, the actual
coefficient of performance and the theoretical maxi-
mum coefficient of performance can be obtained.

The apparatus is built around a thermoelectric con-
verter called a Peltier device.  To simulate the theoreti-
cal heat engines found in textbooks which have infinite
hot and cold reservoirs, one side of the Peltier device
is maintained at a constant cold temperature by pump-
ing ice water through the block and the other side of
the Peltier device is maintained at a constant hot
temperature using a heater resistor imbedded in the
block.  The temperatures are measured with ther-
mistors which are imbedded in the hot and cold blocks.

Additional Equipment Needed

To perform the experiments in this manual, you will
need the following equipment in addition to the
Thermal Efficiency Apparatus.

• 1 DC power supply capable of 2.5A at 12V

(SF-9584)

• 3 kg (7 lbs) ice and a bucket for the ice-water bath

• Ohmmeter (SB-9624)

• 1 Ammeter (up to 3A) (SB-9624A)

• 2 Voltmeters (SB-9624A)

• Patch Cords (SE-9750-51)

History

The principle upon which the Thermal Efficiency
Apparatus operates has been known since the 1800’s
but has only become practical since the recent devel-
opment of semiconductors.

In 1821 the Russian-German physicist Thomas Johann
Seebeck discovered that when a junction of dissimilar
metals is heated, a current is produced.

1

 This phenom-

enon is now known as the Seebeck Effect and is the
basis of the thermocouple.

Then, in 1834, Jean-Charles-Athanase Peltier discov-
ered the opposite of the Seebeck Effect, that a current
flowing through a junction of dissimilar metals causes
heat to be absorbed or freed, depending on the direc-
tion in which the current is flowing.

2

 Since the Ther-

mal Efficiency Apparatus is operated in this manner
the thermoelectric converter is called a Peltier device.
However, the Thermal Efficiency Apparatus also
exhibits the Seebeck Effect because the two sides of
the device are maintained at different temperatures.

Today the Seebeck Effect is achieved using pn junc-
tions. The arrangement of the dissimilar semiconduc-
tors is as seen in Figure 1. If the left side of the device
is maintained at a higher temperature than the right
side, then holes generated near the junction drift across
the junction into the p region and electrons drift into
the n region. At the cold junction on the right side, the
same process occurs but at a slower rate so the net
effect is a flow of electrons in the n region from the
hot side to the cold side. Thus there is a current from
the cold side to hot side in the n region. 

3

Hot
(T

h

)

Cold

(T

c

)

p

n

p

n

Copper

I

I

I

I

Load resistor

I

Figure 1: Arrangement of Thermocouples

1

Timetables of Science, by Alexander Hellemans and
Bryan Bunch, Simon & Schuster, NY, 1988, p.281.

2

IBID, p.301.

3

Circuits, Devices, and Systems, 3rd ed., by Ralph J.
Smith, Wiley, 1976, p.543.

Summary of Contents for TD-8564

Page 1: ...25 26 27 28 29 30 31 32 C 25 26 27 28 29 30 31 32 K 63 4 60 7 58 1 55 6 53 2 51 0 48 9 46 8 K 63 4 60 7 58 1 55 6 53 2 51 0 48 9 46 8 C 35 36 37 38 39 40 41 42 C 35 36 37 38 39 40 41 42 K 41 2 39 6 37...

Page 2: ......

Page 3: ...of Performance 4 MEASUREMENTS USING THE THERMAL EFFICIENCY APPARATUS Direct Measurements 5 Temperatures 5 Power Delivered to the Hot Reservoir PH 6 Power Dissipated by the Load Resistor PW 6 Indirect...

Page 4: ...operly packed to prevent damage and shipped postage or freight prepaid Damage caused by improper packing of the equipment for return ship ment will not be covered by the warranty Shipping costs for re...

Page 5: ...known since the 1800 s but has only become practical since the recent devel opment of semiconductors In 1821 the Russian German physicist Thomas Johann Seebeck discovered that when a junction of diss...

Page 6: ...gine Introduction Actual Efficiency Carnot Efficiency Measurements Using the Thermal Efficiency Apparatus Direct Measurements Temperatures Power to the Hot Reservoir Power Used by the Load Resistor Ex...

Page 7: ...es at which energy is transferred or used by the Thermal Efficiency Apparatus all measurements will be power rather than energy So PH dQH dt and then the equation QH W QC becomes PH PW PC and the effi...

Page 8: ...to do it Notice that although the efficiency is always less than one the COP is always greater than one Maximum Coefficient of Performance As with the maximum efficiency of a heat engine the maximum C...

Page 9: ...ance of the thermistor imbedded in the hot or cold block To do this connect an ohmmeter to the terminals located as shown in Figure 4 The switch toggles between the hot side and the cold side The ther...

Page 10: ...culated it is necessary to calculate the internal resistance This is accomplished by measuring the voltage drop across the Peltier device when an external load is applied First run the Thermal Efficie...

Page 11: ...at which heat is delivered to the hot reservoir PH minus the rate at which work is being done PW Figure 3 Figure 7 No Load The work can be measured directly but the heat delivered to the hot reservoir...

Page 12: ...experiments are written in worksheet form Feel free to photocopy them for use in your lab NOTE The first paragraph in each experiment lists all the equipment needed to perform the experiment Be sure t...

Page 13: ...4 Plug the 9V transformer into the wall socket and into the pump on the Thermal Efficiency Apparatus You should now hear the pump running and water should be coming out of the rubber hose marked out P...

Page 14: ...ch to switch the ohmmeter to each side Record the readings in Table 1 1 Convert the resistances to temperatures using the chart on the front of the device or Table 1 as explained in the Measurements s...

Page 15: ...actual efficiency increase or decrease as the temperature difference increases The Carnot efficiency represents the best that a perfect heat engine can do Since this heat engine is not perfect the ac...

Page 16: ...Thermal Efficiency Apparatus 012 05443A 12 Notes...

Page 17: ...be coming out of the rubber hose marked out Plug the ohmmeter into the thermistor terminals Modes of Operation To obtain all the necessary data for the heat engine it is necessary to run the Thermal E...

Page 18: ...ents section E Record the voltage VH across the heating resistor the current IH and the voltage across the load resistor VW in Table 2 1 Open A Disconnect the patch cord from the load resistor so no c...

Page 19: ...adjusted efficiency the total work done in terms of power is PW PW IW 2 r VW 2 R IW 2 r where IW VW R Calculate IW for the 2 load and record in Table 4 B Second the heat input must be adjusted The he...

Page 20: ...match the Carnot efficiency which assumes no energy loss The adjusted efficiency is eadjusted PW PH PW IW 2 r PH PH open Calculate the internal resistance r using the equation r VP VW VW R which is d...

Page 21: ...CIENCY experiment to get the data necessary to determine the internal resistance of the Peltier device To complete the measurements for this experiment use the following instructions to run the appara...

Page 22: ...of Performance Calculate the actual COP using the data taken in the Heat Engine experiment PC PW PH OPEN PW PW Record this result in Table 3 1 Maximum Coefficient of Performance Calculate the maximum...

Page 23: ...decrease Calculate the rate of change in entropy for the system which includes the hot and cold reservoirs Since the reservoirs are at constant temperature the rate of change in entropy is S t Q t T...

Page 24: ...al Efficiency Apparatus the Peltier device has 71 couples and each couple consists of 2 elements so there is a total of 142 elements which conduct heat Figure 9 Each element has a length to area ratio...

Page 25: ...istance of the Peltier device So the power can be expressed in terms of the Seebeck voltage the internal resistance and the load resistance P Vs r R 2 R Assuming the Seebeck voltage remains constant i...

Page 26: ...ously vary the load resistance However it will be necessary to measure the resistance of the load Allow the system to come to equilibrium so that the hot and cold temperatures are constant This may ta...

Page 27: ...input to the hot side to keep the temperature of the hot reservoir at the same temperature as it was for the 0 5 resistor while Steps 1 through 6 are repeated for the other possible load resistances...

Page 28: ...Thermal Efficiency Apparatus 012 05443A 24 Notes...

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