Fugacity: It is derived from Latin, expressed as fleetness or escaping ...

More documents

Recommendations

Info

( nM ) ( nM ) ( nM ) ( nM ) ( nM ) dT dP dn1 dn T P, n , n P T , n , n n1 n2 n( M ) ( nM ) T 1 2 P, n , n 1 2 n( M ) dT P From the definition of partial molar properties 1 2 T , n , n 1 2 T , P1 , n2. n3 ( nM ) dP ni T , P, n n( M ) n( M ) ( nM ) dT dP M idni ----------(3) T P P, n , n Subtracting equation (2) from equation (3) n( M ) T n( M ) dT P dP P, n , n 1 2 1 2 T , n , n 1 2 T , n , n 1 2 n d M Equatin (4) is the fundamental form of Gibbs Duhem equation i i j dn 0 ------------------(4) i T , P, n1 , n3 Special Case At constant temperature and pressure dT and dP are equal to zero. The equation becomes i i 0 M d x For binary solution at constant temperature and pressure the equation becomes x d M x d M 0 1 1 2 2 x d M 1 x ) d M 0 ------------(5) 1 1 ( 1 2 dividing equation(5) by dx1 x 1 d M dx 1 1 ( 1 x 1 ) d M dx 1 2 0 The above equation is Gibbs Duhem equation for binary solution at constant temperature and pressure in terms of Partial molar properties. Any Data or equation on Partial molar properties must satisfy Gibbs Duhem equation. 2
Problem: Find weather the equation given below is thermodynamically consistent G x 150x x x ( 10x x ) G G G G 1 2 1 2 dG dx 100 1 2 1 2 1 2 G G ( 1 x1) x1 G G x1 x 3 1 2 18x1 35x1 16x1 101 3 1 18x 8x 1 1 2 2 1 150 54x1 70x1 16 dG 2 2 54x1 16x1 dx1 G D equation x 1 d M dx 1 1 2 ( 1 x 1 ) d M dx 1 2 0 x1 ( 54 x1 70 x1 16 ) ( 1 x1 )( 54 x1 16 x1 ) 0 It satisfies the GD equation, the above equation is consistent. 2
Page 1 and 2: Fugacity: It is derived from Latin,
Page 3 and 4: II method Using compressibility fac
Page 5 and 6: 50 ln f ln 9. 86 10 1 f=26.7
Page 7 and 8: d ln a R dT P o H H This equa
Page 9 and 10: Measuring of partial molar properti
Page 11 and 12: Methanol =0.3 mole fraction Water=0
Page 13 and 14: Suppose partial molar properties of
Page 15 and 16: G 1 3 2 18x1 35x1 16x1 101 G 102.
Page 17 and 18: For binary solution G x11 x2 2 Ef
Page 19 and 20: i P T , n V i This equation
Page 21 and 22: Modifying equation (a) RT V dP
Page 23: For non ideal solutions f i i xik
Page 27 and 28: Phase Equilibrium in single compone
Page 29 and 30: dP dT T Q V V g l Vg>>>Vl (Gas
Page 31 and 32: 1 2 c dn dn dn 1 2 c 1
Page 33 and 34: Effect of pressure on VLE The boili
Page 35: Non ideal solution An ideal solutio
Page 38 and 39: xA- Mole fraction of component A Fo
Page 40 and 41: For binary mixture P x P 1 1 1 V1
Page 42 and 43: A=0.829 B x ln 1 1 ln 2 1 x2
Page 44 and 45: According to Gibbs Duhem equation b
Page 46 and 47: d ln xi dx 1 For binary system d l
Page 48 and 49: differentiating with respect to x1
Page 50 and 51: CHEMICAL REACTION EQUILIBRIUM Energ
Page 52 and 53: H T T T 0 H T 0 2 H298
Page 54 and 55: EFFECT OF TEMPERATURE ON EQUILIBRIU
Page 56 and 57: o 2 3 0.00975 2 H T T T I 5.
Page 58 and 59: 0 0 G298 We have G 298= -RTln K298
Page 60 and 61: The hydration of Ethylene to alcoho
Page 62 and 63: Effect of variables on equilibrium
Page 64 and 65: y K K K K P c c y n C
Page 66 and 67: The standard free energy change for

Fugacity: It is derived from Latin, expressed as fleetness or escaping ...

Create successful ePaper yourself

Delete template?

Save as template?