Activity Coefficient and fugacity (Thermodynamics) 5. Activity coefficients. I10

Question

Activity Coefficient and fugacity (Thermodynamics)

5. Activity coefficients. I10points/ We have a mixture of 0.80 mol carbon dioxide (1) and 0.2 mol ethane (2) gas at 16 atm and T 30 C. The Pxy plot is shown below, and critical constants appear in the figure. A calculation shows that the fugacity coefficient plE0.82. What Y1 at these conditions 441 Carbon dioxide (1) Ethane (2) CO2 C2H6 Data fran A. Fredenslund,JAollerup Ohen, Soc., Transactions Ir vol.10, p. 1653f19Mi Farader Critical Constants Tc1 a 304.2 tKJ Tc2 305.5 [K] Pc1 a 72.8 teta] Pc2 48.2 letr 16 Acentric Factors 01 0.225 02 0.097 14 Peng-Robinson Parameter k12 m 0.1343 Error ZIY1 calc.-Y lobs. 0.0059 Data Points 10 0.2 0.4 0.6 0.8 Y1(o) X1 (o) 0.094 lata Data Points Vepor liquid Equilibriun Diagram (Isothermal) at -30 C a) 1.6 b) 2.8 c) 0.84 d 0.19 e) 4.9

Explanation / Answer

Given temcoefficient ure is-30 c =243K

Therefore viral coefficient of Carbon dioxide is

- 123.2cm3mol-1

f(CO2)=101325*exp(-123.2*10-6*101325)%(8.314*243)

=100.700*106

activity of Carbon dioxide =fA/fA..=activity coefficient of Carbon dioxide *XA

(. 82*16*101325)/(. 8*100.7*106)=activity coeff

=. 016

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