www.webassign.net/web/Student/Asilian Part A:Simple Muctures A vessel of volume

Question

www.webassign.net/web/Student/Asilian Part A:Simple Muctures A vessel of volume 3.00 L is partitioned into two equal sired compartments. On the right side there is okygen at 2.00 atm and 10 "c and on the left side there is nitrogen at the same temperature and pressure. Calculate the following thermodynamic properties of mixing when the partition is removed assume gas ideaity) b) entropy J K-1 What proportions of o-xylene and t r should be mixed in order to achieve the greatest entropy of mixing?

Explanation / Answer

delta G = - RT LnK

or

delta G = - (2.303) * RT log Kp

Kp is equilibrium constant since we have gases and we need partial pressures here

So. delta G = - (2.303) * RT log Kp

Before mixing and after mixing, R, T and "n" are all constant

so Ideal gas equation becomes P1 V1 =P2V2

(before mixing) (after mixing)

2.00 * 1.5 = x * 3.00

x = 2.00 * 1.5 / (3.00)

x = 1.00 atm

x represents pressure after mixing

Kp = (1.00 atm)2

(2.00) (2.00)

= 1/4

delta G = - (2.303) * RT log Kp

= - 2.303 * (0.0821 ) * (283 ) * log (1/4)

= 32.2 Joules

3.22 * 10-1 KJ

--------------------------------------------------------

delta S = 32.2 Joules per 283 K

so delta S = 32.2 / 283

= 0.114 J / K

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