For the reaction ,
Moles at t = 0 1 3 0
Moles at t= (1-) (1-3) 2
By stoichiometry of the reaction
Initially, total number of moles,
At equillibrium,
Degree of dissociation, = 20
Moles of at equilibrium = 1-0.2=0.8
Moles of at equilibrium = 3-3(0.2)=2.4
Moles of at equilibrium = 2(0.2)=0.4
Total moles at equilibium,
Using ideal as equation
PV=nRT
As this reaction is carried out in a closed apparatus, the volume of the system remains constant and it is given that the temperature is also, same hence temperature and volume remains constant
Initial conditions, P=100 atm
n=4 moles
Equation becomes
Final conditions, P=? atm
n=3.6 moels
Equation becomes
Dividing equation 1 by equation 2, we get
Putting values in the above equation