Dissociation of a gas 
takes place according to the following chemical reaction. At equilibrium, the total pressure is 1 bar at 300 K.
The standard Gibbs energy of formation of the involved substances has been provided below:
Substance | |
-100.00 | |
A | -50.832 |
The degree of dissociation of 
is given by 
where 
. (Nearest integer).
[Given: 
]
Assume degree of dissociation is not negligible.
Text Solution
Verified by Experts33
(33)
For the dissociation reaction 
, first calculate the standard Gibbs free energy:
.
Using 
:
, giving 
.
For dissociation with degree of dissociation 
, starting with 1 mole of 
at 1 bar total pressure:
At equilibrium, moles are 
for 
and 
for 
, with total 
moles.
.
Solving: 
gives 
or 
.
Since degree of dissociation is 
:
gives 
, so 
.
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