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Isothermal reversible expansion :<br />

∆S sys > 0, ∆S sur < 0<br />

∆S total = 0<br />

Adiabatic reversible expansion :<br />

∆S sys = 0, ∆S sur = 0<br />

∆S total = 0<br />

Adiabatic irreversible expansion :<br />

∆S sys > 0, ∆S sur = 0<br />

∆S total = 0<br />

Isothermal irreversible <strong>com</strong>pression :<br />

∆S sys < 0, ∆S sur > 0<br />

∆S total < 0<br />

And we conclude that since all natural processes are<br />

irreversible the entropy of the universe increases.<br />

This is another statement of second law.<br />

Notes :<br />

• The entropies of all perfectly crystalline material<br />

approaches zero as temperature approaches zero<br />

kelvin, this is third law.<br />

• Few substances have residual entropies even at zero<br />

kelvin like CO, NO, N 2 O, even H 2 .<br />

• For bigger molecules, standard entropy value is<br />

higher .<br />

+<br />

• For H (aq) , standard entropy is zero.<br />

• The increase in temperature results in increase in<br />

entropy.<br />

Free energy<br />

At constant T and P the equilibrium condition is<br />

the minimisation of Gibb’s free energy (G).<br />

The greatest advantage of (at constant T and P)<br />

Gibb’s free energy is that it<br />

can predict the spontaneity<br />

of the process by looking<br />

into the system only (unlike<br />

entropy which considers<br />

G<br />

equilibrium<br />

Time<br />

both system and surroundings).<br />

∆G sys (const. T and P) < 0<br />

is the criteria of spontaneity.<br />

Also, –∆G = w net<br />

For a reversible process at constant T and P, the decrease<br />

in Gibb’s energy corresponds to maximum work done<br />

by the system excluding P-V work.<br />

<br />

60 CHEMISTRY TODAY | APRIL ‘17

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