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.

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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
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 : 

(P+an2V2)(V-nb) = nRT

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