Van der Waals Equation of State The Van der Waals equation of state is: (p+ Table 1C.3 in the textbook has relevant values of a and b. + ²) (V - nb) = nRT Table 1C.3 van der Waals coefficients al(atm dm'mol) 1.337 4.552 5.507 Ar CH, CH, CH CH, CL. CO co H₂ HO 16.37 2.273 6.260 1.453 3.610 0.2420 5.464 (10'dm'ml') 3.30 6.51 11.93 3.95 4.29 2.46 HS He Kr N₁ Ne NH, 0, So, Xe alam de'mol) 4.484 0.0041 5.125 1.352 0.205 4.169 1.364 6.775 4.137 (10'de'mol) 4.34 2.38 1.06 3.87 1.67 3.71 3.19 5.16 Data: HCP What is the temperature (in K) of a 0.324-mol sample of CO₂(g) at a volume of 2.59 L and a pressure of 4.45 bar? Assume the gas obeys the van der Waals equation of state, and round your answer to the ones place.
Van der Waals Equation of State The Van der Waals equation of state is: (p+ Table 1C.3 in the textbook has relevant values of a and b. + ²) (V - nb) = nRT Table 1C.3 van der Waals coefficients al(atm dm'mol) 1.337 4.552 5.507 Ar CH, CH, CH CH, CL. CO co H₂ HO 16.37 2.273 6.260 1.453 3.610 0.2420 5.464 (10'dm'ml') 3.30 6.51 11.93 3.95 4.29 2.46 HS He Kr N₁ Ne NH, 0, So, Xe alam de'mol) 4.484 0.0041 5.125 1.352 0.205 4.169 1.364 6.775 4.137 (10'de'mol) 4.34 2.38 1.06 3.87 1.67 3.71 3.19 5.16 Data: HCP What is the temperature (in K) of a 0.324-mol sample of CO₂(g) at a volume of 2.59 L and a pressure of 4.45 bar? Assume the gas obeys the van der Waals equation of state, and round your answer to the ones place.
Chemistry
10th Edition
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+an²2) (V - nb) = nRT
Table 1C.3 in the textbook has relevant values of a and b.
Table 1C.3 van der Waals coefficients
al(atm dm'mol)
1.337
4.552
5.507
Ar
CH₂
CH₂
CH
CH,
CL,
CO
18.57
2.273
6.260
1.453
3.610
(10'dm'mol)
0.2420
5.464
6.51
11.93
4.31
5.42
3.95
HS
He
Kr
N₂
Ne
NH,
0₂
S0₂
Xe
2.65
al(atm dm'mol)
0.0341
5.125
1.352
0.205
4.169
1.364
(10 dm'mol
4.137
4.34
2.38
co
H₂
H₂O
Data:HCP
What is the temperature (in K) of a 0.324-mol sample of CO₂(g) at a volume of 2.59
L and a pressure of 4.45 bar? Assume the gas obeys the van der Waals equation of
state, and round your answer to the ones place.
1.06
3.87
1.67
3.71
3.19
5.16
Expert Solution

Step 1
Given,
Number of moles of CO2 gas = n = 0.324 mol
Volume in L = V = 2.59 L
Pressure in bar = P = 4.45 bar
Value of interaction constant of CO2 = a = 3.61
Value of volume correction constant of CO2 = b = 4.29
What is the temperature in K = ?
Use the van der waals equation :
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