Question

Two students calculated the AG transfer for propyl red at six temperatures between 282 K and 317 K and made a graph of AG transfer (kJ mol) versus the absolute temperature (K). Then the students fit their data to a straight line equation (R2 = 0.995): y = -0.0982x + 21.915 Calculate AHºtransfer and AS transfer for propyl red.

Answer 1

We Know that,

$\bigtriangleup G^o_{transfer}=\bigtriangleup H^o_{transfer}-T\bigtriangleup S^o_{transfer}$

Which can be in form of y=mx+c

Here,

$y=\bigtriangleup G^o_{transfer}$

$c=\bigtriangleup H^o_{transfer}$

$m=\bigtriangleup S^o_{transfer}$

Given,

$y=-0.0982x+21.915$

Terefore,

$\bigtriangleup S^o_{transfer}=0.0982 \text{ kJ/mol.K}$