An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po. Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₁ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the pV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: Adiabatic: No heat is added or removed during the expansion. • Isobaric: The pressure remains constant during the expansion. • Isothermal: The temperature remains constant during the expansion. Figure 1.00- 0.75- Po 0.50- 0.25- 0 0 1.0 2.0 3.0 V 1 of 1 > A B C D 4.0 Which of the curves in the figure represents an isothermal process? ▸ View Available Hint(s) OA OB OC OD Submit X Incorrect; Try Again; 4 attempts remaining In an isothermal expansion, the product pV should remain constant. ▼ Part D Graphically, the work along any path in the pV plot. Previous Answers O is the area to the left of the curve from po to Pfinal O is the area under the curve from Vo to Vinal Orequires knowledge of the temperature T (V) Submit Part E WA= Request Answer Calculate WA, the work done by the gas as it expands along path A from Vo to V₁ = R₂Vo. Express WA in terms of po, Vo, and R.. View Available Hint(s) IVE ΑΣΦ → 199 ?
An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po. Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₁ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the pV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: Adiabatic: No heat is added or removed during the expansion. • Isobaric: The pressure remains constant during the expansion. • Isothermal: The temperature remains constant during the expansion. Figure 1.00- 0.75- Po 0.50- 0.25- 0 0 1.0 2.0 3.0 V 1 of 1 > A B C D 4.0 Which of the curves in the figure represents an isothermal process? ▸ View Available Hint(s) OA OB OC OD Submit X Incorrect; Try Again; 4 attempts remaining In an isothermal expansion, the product pV should remain constant. ▼ Part D Graphically, the work along any path in the pV plot. Previous Answers O is the area to the left of the curve from po to Pfinal O is the area under the curve from Vo to Vinal Orequires knowledge of the temperature T (V) Submit Part E WA= Request Answer Calculate WA, the work done by the gas as it expands along path A from Vo to V₁ = R₂Vo. Express WA in terms of po, Vo, and R.. View Available Hint(s) IVE ΑΣΦ → 199 ?
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 51P: A monatomic ideal gas undergoes a quasi-static process that is described by the function...
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Transcribed Image Text:An ideal monatomic gas is contained in a cylinder with a
movable piston so that the gas can do work on the outside
world, and heat can be added or removed as necessary.
(Figure 1) shows various paths that the gas might take in
expanding from an initial state whose pressure, volume, and
temperature are po, Vo, and To respectively. The gas
expands to a state with final volume 4V. For some answers
it will be convenient to generalize your results by using the
variable R₂ = Vfinal/Vinitial, which is the ratio of final to
initial volumes (equal to 4 for the expansions shown in the
figure.)
The figure shows several possible paths of the system in the
pV plane. Although there are an infinite number of paths
possible, several of those shown are special because one of
their state variables remains constant during the expansion.
These have the following names:
Adiabatic: No heat is added or removed during
the expansion.
● Isobaric: The pressure remains constant during
the expansion.
●
• Isothermal: The temperature remains constant
during the expansion.
Figure
1.00-
0.75-
P
Po 0.50-
0.25
0
1.0 2.0 3.0
V
<
1 of 1
A
B
C
D
4.0
▼
Which of the curves in the figure represents an isothermal process?
► View Available Hint(s)
A
B
C
U
Submit
X Incorrect; Try Again; 4 attempts remaining
In an isothermal expansion, the product pV should remain constant.
Part D
Graphically, the work along any path in the pV plot
Previous Answers
is the area to the left of the curve from po to pfinal
is the area under the curve from Vo to Vfinal
requires knowledge of the temperature T (V)
Submit
Part E
WA =
Request Answer
Calculate WA, the work done by the gas as it expands along path A from V₁ to V₁ = R₂V₁.
Express WA in terms of po, Vo, and Ry.
► View Available Hint(s)
ΑΣΦ
Doerson
wo
?
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