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

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dP<br />

dT<br />

T<br />

<br />

Q<br />

V V <br />

g<br />

l<br />

Vg>>>Vl (G<strong>as</strong> volume <strong>is</strong> very high when compared to liquid volume)<br />

dP H<br />

<br />

dT TV<br />

V<br />

g<br />

H V (Latent heat of vap<strong>or</strong>ization),<br />

dP P<br />

<br />

dT TRT<br />

dP dT<br />

2<br />

P R T<br />

V g <br />

RT<br />

P<br />

Integrating the above equation <strong>from</strong> T1to T2 and pressure <strong>from</strong> P1 to P2.<br />

P<br />

2<br />

dP <br />

<br />

P R<br />

P<br />

1<br />

P<br />

ln<br />

P<br />

2<br />

1<br />

1<br />

<br />

R T1<br />

<br />

1<br />

T<br />

2<br />

<br />

<br />

<br />

Th<strong>is</strong> equation <strong>is</strong> used to calculate the vap<strong>or</strong> pressure at any desired temperature.<br />

Problem:<br />

The vap<strong>or</strong> pressure of water at 100 o C <strong>is</strong> 760mmHg. What will be the vap<strong>or</strong> pressure<br />

at 95 o C. The latent heat of vap<strong>or</strong>ization of water at th<strong>is</strong> temperature range <strong>is</strong><br />

41.27KJ/mole.<br />

P 760mmHg<br />

P<br />

1<br />

2<br />

T<br />

<br />

T<br />

2<br />

1<br />

<br />

dT<br />

T<br />

T<br />

T<br />

1<br />

2<br />

100 273 <br />

95 273 <br />

373K<br />

368K

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