Van der Waals Equation of State The Van der Waals equation of state is: (p+ ²) (V - nb) = nRT Table 1C.3 in the textbook has relevant values of a and b. Table 1C.3 van der Waals coefficients atm dm'mol) 1.337 Ar CH, C.H. CH CH₂ a CO CO₂ H₂ НО 5.507 18.57 6.260 1.453 3.610 0.2420 5.464 (10'dm'ml) 5.82 6.51 11.93 4.31 5.42 3.95 4.29 2.65 H.S He Kr N₂ Ne NH, 0₂ So, Xe atm de'mol) 0.0041 5.125 1.352 0.205 4.369 1364 6.775 4.137 (10 dm'mol) 434 1.06 1.67 3.71 3.19 5.36 Data: HCP What is the pressure (in bar) of a 0.213-mol sample of CO₂(g) at a volume of 2.91 L cand a temperature of 207 K? Assume the gas obeys the van der Waals equation of state, and round your answer to the hundredths (0.01) place.
Van der Waals Equation of State The Van der Waals equation of state is: (p+ ²) (V - nb) = nRT Table 1C.3 in the textbook has relevant values of a and b. Table 1C.3 van der Waals coefficients atm dm'mol) 1.337 Ar CH, C.H. CH CH₂ a CO CO₂ H₂ НО 5.507 18.57 6.260 1.453 3.610 0.2420 5.464 (10'dm'ml) 5.82 6.51 11.93 4.31 5.42 3.95 4.29 2.65 H.S He Kr N₂ Ne NH, 0₂ So, Xe atm de'mol) 0.0041 5.125 1.352 0.205 4.369 1364 6.775 4.137 (10 dm'mol) 434 1.06 1.67 3.71 3.19 5.36 Data: HCP What is the pressure (in bar) of a 0.213-mol sample of CO₂(g) at a volume of 2.91 L cand a temperature of 207 K? Assume the gas obeys the van der Waals equation of state, and round your answer to the hundredths (0.01) place.
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:Van der Waals Equation of State
The Van der Waals equation of state is:
(p+an²) (V - nb) = nRT
Table 1C.3 in the textbook has relevant values of a and b.
Table 1C.3 van der Waals coefficients
a/(atm dm'mol)
1.337
4.552
Ar
C,H,
CH₂
CH₂
CH,
Cl₂
CO
co
H₂
Но
5.507
18.57
2.273
6.260
1.453
3.610
0.2420
5.464
b(10 dm'mol)
3.20
5.82
6.51
11.93
4.31
5.42
3.95
4.29
2.65
3.05
HS
He
Kr
ロー
N₂
Ne
NH,
0₂
S0₂
Xe
al(atm de mol)
4.484
0.0041
5.125
1.352
0.205
4.169
1.364
6.775
4.137
(10 dm'mol)
4.34
2.38
1.06
3.87
3.71
3.19
5.16
Data: HCP
What is the pressure (in bar) of a 0.213-mol sample of CO₂(g) at a volume of 2.91 L
cand a temperature of 207 K? Assume the gas obeys the van der Waals equation of
state, and round your answer to the hundredths (0.01) place.
Expert Solution
Step 1
Given :-
Volume of CO2 = V = 2.91 L
Moles of CO2 = n = 0.213 mol
Temperature = T = 207 K
From table for CO2 ,
a = 3.610 atm.dm6/mol2 = 3.610 atm.L2/mol2
b = 4.29 (10-2 dm3/mol) = 0.0429 dm3/mol = 0.0429 L/mol
(since, dm3 = L)
Pressure of CO2 = P = ?
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