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

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

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THERMODYNAMIC FEASIBILITY OF REACTIONS<br />

The equilibrium constant K <strong>is</strong> a me<strong>as</strong>ure of the concentration of the products<br />

f<strong>or</strong>med at equilibrium. <strong>It</strong> <strong>is</strong> related by the equation ΔG 0 = - RT ln K. The m<strong>or</strong>e the value<br />

of K, m<strong>or</strong>e will be the equilibrium conversion of products. When the value of ΔG < 0,<br />

means the value of K should be very large. Hence ΔG <strong>is</strong> the me<strong>as</strong>ure of fe<strong>as</strong>ibility of a<br />

chemical reaction.<br />

i) If ΔG 0 < 0, there can be appreciable conversion of reactants in to products.<br />

The m<strong>or</strong>e the –ve value, m<strong>or</strong>e will be the fe<strong>as</strong>ibility of the reaction<br />

ii) If ΔG 0 <strong>is</strong> +ve but less than 10 000 k Cal / mol, the reaction <strong>is</strong> not fe<strong>as</strong>ible,<br />

at atmosphere , may be fe<strong>as</strong>ible at any other pressure<br />

iii) If ΔG 0 <strong>is</strong> greater than 10 000 kCal / mol the reaction <strong>is</strong> not at all fe<strong>as</strong>ible<br />

under any condition.<br />

Equilibrium Calculations ( Homogeneous g<strong>as</strong> Ph<strong>as</strong>e reactions):<br />

aA (g) + bB (g) ↔ cC (g) + dD (g)<br />

c<br />

c y c c p<br />

<br />

We have<br />

f<br />

Activity a E f<br />

0<br />

f<br />

K<br />

c d<br />

a a <br />

C D<br />

<br />

a b<br />

a A a <br />

B <br />

f<strong>or</strong> g<strong>as</strong>es,<br />

0<br />

<strong>as</strong> = p = 1 atmosphere: a = f<br />

f = y but a f x p = y p<br />

c c c c c c<br />

c c c<br />

K =<br />

a y p<br />

D D D D<br />

a y p<br />

A A A A<br />

a y p<br />

B B B B<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

A A A B B B A B A B A B<br />

<br />

<br />

D y DD p<br />

<br />

c D<br />

x<br />

y c yD x<br />

c D<br />

x<br />

p p<br />

y p y p y y p p<br />

c + d - (a + b) n<br />

()()()(P) y =()()()(P) where = activit y <br />

y co efficient f<strong>or</strong> g<strong>as</strong> ph<strong>as</strong>e<br />

<br />

<br />

<br />

<br />

d c d c d c d c d<br />

a b a b a b a b a b<br />

K k k k k k k<br />

y = mole fraction<br />

= <strong>Fugacity</strong> Co efficient f<strong>or</strong> g<strong>as</strong> ph<strong>as</strong>e<br />

P = Total pressure

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