Using the data below answer the following questions. Find the corresponding van

ID: 886680 • Letter: U

Question

Using the data below answer the following questions.

Find the corresponding van der Waals parameters given the critical data above.

(a) Which gas is most nearly ideal? A

Which has the most attractive intermolecular forces? C

Which has the largest molecular volume? B

Which has the smallest value of compressibility C (

b) Calculate the Boyle Temperature for Gas A 2925 K

(d) Find the Zc. 3/8

gas Tc/K Pc/atm a b a 866.66 355.6 6 .025 b 144.4 9.9 6 .15 c 722.1 74.1 20 .1

Tc = 8a/27Rb , Pc = a/27b^2 and Vc = 3b

Putting the values of a and b for each gas we would find that Tc is closest for gas A

Hence gas A is most nearly ideal

Higher the value of a higher is the value of attractive intermolecular forces.

So, C has the most attractive intermolecular forces

Higher the value of b higher the molecular volume

So, B has the largest molecular volume

Pc/Tc for C is least so it has smallest value of Compressibility.

(b) Tb = a / Rb = 6 / 0.0821*0.025 = 2924.8 K

0.1 = 16/3 * 3.14 * r^3 * 6.022 x 10^23

r^3 = 39.65 x 10^-30

r = 3.41 x 10^-10 m = 3.41 A

(d) Zc = Pc * Vc / R * Tc = a/27b^2 * 3b / R * (8a/27Rb) = 3/8

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