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 A 3.50 3.00 2.00 1.59 B 1.00 0 2.50 0.00 1.00 2.00 5.50 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. Q=0 Q= CPAT Q = CVAT Q=-w Q = nRT In (V2/V1) W=0 W=-Q W=-PAV W=-nRT In (V2/V1) W= (P2V2-P1V1) AU=0 AU = W AU=Q+W PV = nRT (i) Complete the table below for path AC (an isothermal process). Drag and drop items into the first row and then calculate the values and enter the numbers in the second row. change in internal energy heat transferred to the gas work done on the gas J J

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter4: The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 18P: A tank contains 111.0 g chlorine gas l2), which is at temperature 82.0 and absolute pressure...
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Question
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
A
3.50
3.00
2.00
1.59
B
1.00
0
2.50
0.00
1.00
2.00
5.50
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.
Q=0
Q= CPAT
Q = CVAT
Q=-w
Q = nRT In (V2/V1)
W=0
W=-Q
W=-PAV
W=-nRT In (V2/V1)
W= (P2V2-P1V1)
AU=0
AU = W AU=Q+W PV = nRT
(i) Complete the table below for path AC (an isothermal process). Drag and drop items into
the first row and then calculate the values and enter the numbers in the second row.
change in internal energy heat transferred to the gas work done on the gas
J
J
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 A 3.50 3.00 2.00 1.59 B 1.00 0 2.50 0.00 1.00 2.00 5.50 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. Q=0 Q= CPAT Q = CVAT Q=-w Q = nRT In (V2/V1) W=0 W=-Q W=-PAV W=-nRT In (V2/V1) W= (P2V2-P1V1) AU=0 AU = W AU=Q+W PV = nRT (i) Complete the table below for path AC (an isothermal process). Drag and drop items into the first row and then calculate the values and enter the numbers in the second row. change in internal energy heat transferred to the gas work done on the gas J J
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