In: Chemistry
for the calculations performed with the experimental data obtained,
which of the following best describes why it is necessary to assume
that deltaH and deltaS are temperature independent values. this
assumption permits use of a linear equation to fit the data, this
assumption allows us to average the data, this assumption allows
entropy to be ignored when enthalpy changes are large, this
assumption allows entropy to be ignored when enthalpy changes are
small, this assumption allows entropy to be ignored when
calculating deltaG values
Solution :
Mathematical relation between free energy, delta H and delta S.
Delta G = Delta H – T delta S
We know the relation between delta G and equilibrium constant.
Delta G = - RTlnK
When we plug for delta G we get
-RTlnK = Delta H – T delta S
Lets divide complete equation by (-RT ) then we get
lnK = - (Delta H / RT ) + Delta S / R
Now if we look at above equation then we we have equilibrium constant, Delta H and delta S in it.
Above equation is in the form of y = mx + c
Here x = 1 /T
And slop of this equation is “- (delta H / R )”
To make this above equation resemble to y = mx + c and get linear plot to determine the value of delta H and delta S from k or vice versa at different T we must assume delta H and delta S to be constant.
So the linear fit is important here.
And answer for this is “This assumption permits use of a linear equation to fit the data ”