One important use for pV diagrams is in calculating work. The product pV has the units of Pax m³ = (N/m²) m³ N-m= J; in fact, the absolute value of the work done the gas (or on the gas) during any process equals the area under the graph corresponding to that process on the pV diagram. If the gas increases in volume, it does positive work: the volume decreases, the gas does negative work (or, in other words, work is being done on the gas). If the volume does not change, the work done is zero. The following questions may seem repetitive: however, they will provide practice. Also, the results of these calculations may be helpful in the final section of the problem. Part A Calculate the work W done by the gas during process 1->2. Express your answer in terms of po and Vo. 1957 ΑΣΦ W = Submit Previous Answers Request Answer X Incorrect: Try Again: 5 attempts remaining ?

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Learning Goal:
To understand the meaning and the basic applications of pV diagrams
for an ideal gas.
As you know, the parameters of an ideal gas are described by the
equation
PV = nRT
where p is the pressure of the gas, V is the volume of the gas, 12 is
the number of moles. R is the universal gas constant, and T is the
absolute temperature of the gas. It follows that, for a portion of an
ideal gas,
constant.
One can see that, if the amount of gas remains constant, it is
impossible to change just one parameter of the gas: At least one more
parameter would also change. For instance, if the pressure of the gas
is changed, we can be sure that either the volume or the temperature
of the gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a graph
showing one parameter as a function of the other. Although there are
many choices of axes, the most common one is a plot of pressure as
a function of volume: a pV diagram.
pV
In this problem, you will be asked a series of questions related to
different processes shown on a DV diagram (Figure 1). They will help
Figure
3po
2po
Po
5:
4
13
6:
Vo 2V 3V
V
1 of 1 >
One important use for pV diagrams is in calculating work. The product pV has the units of Pax m³ = (N/m²) - m³ = N-m = J; in fact, the absolute value of the work done by
the gas (or on the gas) during any process equals the area under the graph corresponding to that process on the pV diagram. If the gas increases in volume, it does positive work; if
the volume decreases, the gas does negative work (or, in other words, work is being done on the gas). If the volume does not change, the work done is zero.
The following questions may seem repetitive; however, they will provide practice. Also, the results of these calculations may be helpful in the final section of the problem.
▼
Part A
Calculate the work W done by the gas during process 1-2.
Express your answer in terms of po and Vo.
|| ΑΣΦ
W =
Submit Previous Answers Request Answer
X Incorrect; Try Again; 5 attempts remaining
Part B Complete previous part(s)
Part C Complete previous part(s)
Part D Complete previous part(s)
Part E Complete previous part(s)
Part F Complete previous part(s)
Part G Complete previous part(s)
Provide Feedback
?
Next >
Transcribed Image Text:Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation PV = nRT where p is the pressure of the gas, V is the volume of the gas, 12 is the number of moles. R is the universal gas constant, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, constant. One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. pV In this problem, you will be asked a series of questions related to different processes shown on a DV diagram (Figure 1). They will help Figure 3po 2po Po 5: 4 13 6: Vo 2V 3V V 1 of 1 > One important use for pV diagrams is in calculating work. The product pV has the units of Pax m³ = (N/m²) - m³ = N-m = J; in fact, the absolute value of the work done by the gas (or on the gas) during any process equals the area under the graph corresponding to that process on the pV diagram. If the gas increases in volume, it does positive work; if the volume decreases, the gas does negative work (or, in other words, work is being done on the gas). If the volume does not change, the work done is zero. The following questions may seem repetitive; however, they will provide practice. Also, the results of these calculations may be helpful in the final section of the problem. ▼ Part A Calculate the work W done by the gas during process 1-2. Express your answer in terms of po and Vo. || ΑΣΦ W = Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Part F Complete previous part(s) Part G Complete previous part(s) Provide Feedback ? Next >
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