P +Q ⇒ R + S. If initially the concentration of PandQ are equal but at equilibrium
concentration of S will be twice that of P, then what will be the value of Kc
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P(g)+2Q(g)⇌R(g)
At equilibrium 3 M 4 M x M k
c
=
3×4
2
x
just After doubling the volume of the vessel
[P(g)]=1.5 M (
2
3 M
)
[Q(g)]=2 M
P(g)+2Q(g)⇌R(g)
t
2
=0 1.5 M 2 M x
at new eqlb 1.5−y 2−2y x+y
given conc of Q at new eqlb =3 M
⇒2−2y=3
⇒t=
2
−1
M=−0.5 M
So conc at equilibrium are
(p(g))=1.5+0.5=2 M
[Q(g)]=3 M
[R(g)]=x−0.5
k
c
=
2×3
2
x−0.5
equating k
c
3×16
x
=
2×9
x−0.5
3x=8x−4
4=5x
x=
5
4
=0.8
So, k
c
=
3×16
0.8
=1.67×10
−2
conc of R at first eqlb stage =0.8 M
conc of R at second eqlb stage =(0.8−0.5)M
=0.3 M
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