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Small Piston Heat Engine

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 Experiment 2:  Charles’ Law

Charles’ law states that at a constant pressure, the volume of a fixed mass or quantity of gas varies
directly with the absolute temperature:

V

 = c

       (at constant 

pressure, P,

 where 

temperature, T,

 is

expressed in degrees Kelvin)

Using the one-holed stopper and plain tubing, connect the base apparatus and the air chamber.

Close the shut-off valve on the tubing from the unused port.

Turn the base apparatus on its side.  (In this position, the force acting on the 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 equilibrates to the
temperature, record the temperature and the height of the piston.

Add ice to the container and record the temperature and pressure at regular time intervals.

Calculate the gas volumes at the various piston positions you measured and make a graph of plots of tempera-
ture versus volume.  (Hint:  The diameter of the piston is 15.9± 0.1 mm.)

Equipment Required:

• Small Piston Heat Engine
• Thermometer

• Container of hot water
• Ice

Do not allow the tip of the

thermometer to touch the

bottom of the container.

Add ice.

Close the shut-off valve on
the tubing from the unused

port.

Figure 2.1: Experiment setup

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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