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

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EFFECT OF TEMPERATURE ON EQUILIBRIUM CONSTANT K<br />

Gibb’s - Helmoholtz equation at constant pressure <strong>is</strong> given<br />

o G<br />

<br />

d <br />

T H<br />

o<br />

but G RT<br />

ln K<br />

2<br />

dT T<br />

RT<br />

ln K <br />

d <br />

T<br />

<br />

H d R ln K<br />

H<br />

<strong>or</strong><br />

<br />

2 2<br />

dT T dT T<br />

d ln K<br />

H<br />

Van't Hoff equation.<br />

2<br />

dT RT<br />

Th<strong>is</strong> may be integrated to find the effect of temperature on K<br />

K2<br />

T2<br />

<br />

When H<br />

<strong>is</strong> contant d lnK <br />

K1<br />

T1<br />

K2 ln<br />

K1<br />

H<br />

1 1 <br />

<br />

R T2 T1<br />

<br />

if K <strong>is</strong> known at T ,then<br />

K can be calculated at other T<br />

1 1<br />

ln K<br />

H<br />

dT 2<br />

RT<br />

2 2<br />

When H varies with T<br />

d<br />

dT<br />

0<br />

H<br />

2<br />

RT<br />

<br />

T<br />

I <br />

d ln K<br />

dT 2<br />

RT 2R 3R<br />

<br />

RT <br />

0<br />

<br />

<br />

ln T <br />

ln K = <br />

R 2R 6R<br />

RT<br />

G RT ln K<br />

2<br />

T T I<br />

M<br />

Where M <strong>is</strong> a consatnt of integration<br />

2<br />

0 ln T T T<br />

I <br />

G RT M<br />

<br />

R 2R 6R<br />

RT <br />

T T<br />

G T I MRT<br />

2 6<br />

2 3<br />

<br />

0<br />

ln T

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