Problem 2.1.9

 

Estimate the Gibbs energy of formation of water at 350 Kelvin given the enthalpy and energy of formation at 298 Kelvin.  Heat capacity data is missing.

 

Solution: 

 

Both delta S and delta H are function of temperature.  Delta G is given by delta H – T time delta S.  In this case, delta H at 250 Kelvin is the same as delta H at 298.  Delta S at 298 can be calculated using delta G and delta H.  It is found to be minus 44.44 joules per mole per Kelvin.  Now delta G at 350 Kelvin is calculated as delta H minus T delta S.  Its value is minus 2.26 time 105 joules per mole.