Answer:
At ; 95.0% of the molecules will dissociate at this temperature
Explanation:
The chemical reaction of this dissociation is:
The ICE table is as follows:
Initial 100 0
Change -83 +166
Equilibrium 17 166
The mole fractions of each constituent is now calculated as:
= 0.9071
= 0.0929
Given that the total pressure = 1.000 atm ; the partial pressure of each gas is calculated by using Raoult's Law.
Now; we proceed to determine the equilibrium constant ; which is illustrated as:
Let assume that the partial pressure of be x ;&
the change in pressure of be y ; then
we can write that the following as the changes in concentration of species :
Initial x 0
Change -y +2 y
Equilibrium x - y 2 y
From above; we can rewrite our equilibrium constant as:
From the question; we are told that provided that 95% of the molecules dissociate at this temperature. Therefore, we have:
% -------- equation (2)
Solving and equating equation 1 and 2 ;
x = 0.123 atm
y = 0.117 atm
Thus, the pressure required can be calculated as :