The experimental setup for this week's lab consists of a syringe connected to a metal can (reservoir), a cold bath (water - ice mixture) and a "hot" bath (water at room temperature). A schematics of the syringe - reservoir system is shown below. Plunger of mass m Filled with Metal can gas (air) Syringe of volume Vc or VH - Volume Vo includes tube + -Metal can submerged in water of temperature Tc or TH- Tube Stopper Figure 1: Schematic of the syringe - reservoir system. The syringe is essentially a glass cylinder fitted with a movable piston (plunger). The markings on the syringe indicate the volume of gas in the syringe, but do not include the additional, unknown volume, Vo, in the gas can and tubing.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Pre-lab 8: Cold Engine
The experimental setup for this week's lab consists of a syringe connected to a metal can (reservoir), a cold bath (water -
ice mixture) and a "hot" bath (water at room temperature). A schematics of the syringe - reservoir system is shown below.
Plunger of
mass m
Filled with
gas (air)
Syringe of
volume Vcor VH
- Volume Vo includes tube + Metal can
-Metal can submerged
in water of temperature
Тс
or
TH.
Tube
Stopper
Figure 1: Schematic of the syringe - reservoir system. The syringe is essentially a glass cylinder fitted with a movable piston
(plunger). The markings on the syringe indicate the volume of gas in the syringe, but do not include the additional, unknown
volume, Vo, in the gas can and tubing.
Transcribed Image Text:Pre-lab 8: Cold Engine The experimental setup for this week's lab consists of a syringe connected to a metal can (reservoir), a cold bath (water - ice mixture) and a "hot" bath (water at room temperature). A schematics of the syringe - reservoir system is shown below. Plunger of mass m Filled with gas (air) Syringe of volume Vcor VH - Volume Vo includes tube + Metal can -Metal can submerged in water of temperature Тс or TH. Tube Stopper Figure 1: Schematic of the syringe - reservoir system. The syringe is essentially a glass cylinder fitted with a movable piston (plunger). The markings on the syringe indicate the volume of gas in the syringe, but do not include the additional, unknown volume, Vo, in the gas can and tubing.
Problem 1 (Part 2.1 in the lab handout):
Consider the syringe mounted horizontally. When the metal can is immersed in the cold bath, the temperature is To and
the total volume of gas is Vc + Vo, where Vc is the volume in the syringe while in the cold bath (see Fig. 1). So we can write
the ideal gas law as:
Patm (Vc + Vo) = NkTc = nRTc
(1)
Write down a similar equation for when the can is immersed in the hot bath. Using the two expressions, prove that:
Vo =
VHTC - VCTH
TH-TC
(2
where TH and VH refer to the hot state.
Transcribed Image Text:Problem 1 (Part 2.1 in the lab handout): Consider the syringe mounted horizontally. When the metal can is immersed in the cold bath, the temperature is To and the total volume of gas is Vc + Vo, where Vc is the volume in the syringe while in the cold bath (see Fig. 1). So we can write the ideal gas law as: Patm (Vc + Vo) = NkTc = nRTc (1) Write down a similar equation for when the can is immersed in the hot bath. Using the two expressions, prove that: Vo = VHTC - VCTH TH-TC (2 where TH and VH refer to the hot state.
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