Question

In: Chemistry

. In a mixture of acetone and trichlormethane at 298 K, Ktrichloromethane = 22.0 kPa, whereas...

. In a mixture of acetone and trichlormethane at 298 K, Ktrichloromethane = 22.0 kPa, whereas p*trichloromethane = 36.4 kPa. What is the relation between the standard chemical potential and that of the pure liquid?

Solutions

Expert Solution

If a solute of a solution follows henry's law with the vapour pressure pa, then pa=Kaxa

So, the chemical potential of the solute will be,a =a* + RT(lnpa/pa*) =a* + RT(lnKa/pa*) + RTlnxa

Where, R= gas constant = 8.314 4621 J K-1 mol-1

So, the new standard chemical potential, 'a = a* + RT(lnKa/pa*)

from the above data, Ktrichloromethane = 22.0 kPa and p*trichloromethane = 36.4 kPa

the temperature of the mixture is 298 K

So, the relation between the standard chemical potential and that of the pure liquid,

'trichloromethane = *trichloromethane + RT(lnKtrichloromethane/p*trichloromethane)

= *trichloromethane + 8.3144621J K-1 mol-1298 K(ln 22.0 kPa/ 36.4 kpa)

=  *trichloromethane -1247.59 Jmol-1

Here,

'trichloromethane = standard chemical potential of trichloromethane

*trichloromethane = chemical potential of pure trichloromethane


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