Question

Use the van der Waals equation of state to calculate the pressure of 4.00 mol of...

Use the van der Waals equation of state to calculate the pressure of 4.00 mol of Xe at 483 K in a 4.20-L vessel. Van der Waals constants can be found here.

Use the ideal gas equation to calculate the pressure under the same conditions.

Homework Answers

Answer #1

Given that

no of moles n = 4.0 mol

volume V = 4.2 L

temperature T = 483 K

Van der walls constants for Xe a = 4.192 L2. atm/mol2 , b = 0.05156 L/mol

R = 0.0821 L.atm/K/mol

Pressure of Xe using Van der walls equation  :

Van der walls equation is

(P + an2/V2) (V-nb) = nRT

P = [ nRT / (V -nb)] - [an2/V2]

= [(4)(0.0821)(483) / (4.2 - 4 x 0.05156)] - [ 4.192 x 42 / 4.22]

= 35.91 atm

Pressure of Xe = 35.91 atm

Pressure of Xe using Ideal gas equation  :

PV = n RT

P = nRT/V

= 4 x 0.0821 x 483/ 4.2

= 37.76 atm

Pressure of Xe = 37.76 atm

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