The figure shows two pathways for a sample of an ideal diatomic gas which is expanding in volume in going from A to C where path AC is an isothermal process. (Assume f= 5 for this diatomic gas.) P/103 Pa 4.00 3.50 3.00 2.00 1.59 1.00 A C B 2.50 5.50 0.00 1.00 2.00 3.00 4.00 5.00 6.00 V/m³ Drag/drop the following equations/values into the boxes below and hence determine the quantities required (note that you can only drop an item into a box with a matching colour). Please state all values in scientific notation and to the appropriate number of significant figures. Note that the following relationships are for an ideal gas with an initial state (P1, V1, T₁) and a final state (P2, V2, T2) where W is the work done on the gas, Q is the heat transferred to the gas and AU is the change in internal energy of the gas. Cp and Cy are the heat capacities of the gas at constant pressure and constant volume respectively. 2=0 Q= СРДТ Q = CVAT ==W Q = nRT In (V2/V1) W=0 W=-Q W=-PAV W=-nRT In (V2/V1) f W= W = √(P2V2 - P₁V1) AU=0 AU=W |AU= ==Q+W PV = nRT (ii) Path ABC comprises two processes. Drag and drop items to complete the table below for paths AB and BC. path work done on the gas heat transferred to the gas AB BC Since we know AU for path AC from part (i), hence determine: The total heat added for pathway ABC = J. The total work done on the gas for pathway ABC = J.
The figure shows two pathways for a sample of an ideal diatomic gas which is expanding in volume in going from A to C where path AC is an isothermal process. (Assume f= 5 for this diatomic gas.) P/103 Pa 4.00 3.50 3.00 2.00 1.59 1.00 A C B 2.50 5.50 0.00 1.00 2.00 3.00 4.00 5.00 6.00 V/m³ Drag/drop the following equations/values into the boxes below and hence determine the quantities required (note that you can only drop an item into a box with a matching colour). Please state all values in scientific notation and to the appropriate number of significant figures. Note that the following relationships are for an ideal gas with an initial state (P1, V1, T₁) and a final state (P2, V2, T2) where W is the work done on the gas, Q is the heat transferred to the gas and AU is the change in internal energy of the gas. Cp and Cy are the heat capacities of the gas at constant pressure and constant volume respectively. 2=0 Q= СРДТ Q = CVAT ==W Q = nRT In (V2/V1) W=0 W=-Q W=-PAV W=-nRT In (V2/V1) f W= W = √(P2V2 - P₁V1) AU=0 AU=W |AU= ==Q+W PV = nRT (ii) Path ABC comprises two processes. Drag and drop items to complete the table below for paths AB and BC. path work done on the gas heat transferred to the gas AB BC Since we know AU for path AC from part (i), hence determine: The total heat added for pathway ABC = J. The total work done on the gas for pathway ABC = J.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 46P: A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00...
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Transcribed Image Text:The figure shows two pathways for a sample of an ideal diatomic gas which is expanding in
volume in going from A to C where path AC is an isothermal process. (Assume f= 5 for this
diatomic gas.)
P/103 Pa
4.00
3.50
3.00
2.00
1.59
1.00
A
C
B
2.50
5.50
0.00
1.00
2.00
3.00
4.00
5.00
6.00
V/m³
Drag/drop the following equations/values into the boxes below and hence determine the
quantities required (note that you can only drop an item into a box with a matching colour).
Please state all values in scientific notation and to the appropriate number of significant
figures.
Note that the following relationships are for an ideal gas with an initial state (P1, V1, T₁) and a
final state (P2, V2, T2) where W is the work done on the gas, Q is the heat transferred to the
gas and AU is the change in internal energy of the gas. Cp and Cy are the heat capacities of
the
gas at constant pressure and constant volume respectively.
2=0
Q= СРДТ
Q = CVAT
==W
Q = nRT In (V2/V1)
W=0
W=-Q
W=-PAV
W=-nRT In (V2/V1)
f
W=
W = √(P2V2 - P₁V1)
AU=0
AU=W
|AU=
==Q+W
PV = nRT
Transcribed Image Text:(ii) Path ABC comprises two processes. Drag and drop items to complete the table below for
paths AB and BC.
path work done on the gas heat transferred to the gas
AB
BC
Since we know AU for path AC from part (i), hence determine:
The total heat added for pathway ABC =
J.
The total work done on the gas for pathway ABC =
J.
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