Question
The values of Kp1and KP2 for the reactions
X ⇋ Y + Z and A⇋ 2B Are in the ratio of 9:1. If the degree of dissociation of X and A be equal, then total pressure at equilibrium (1) and (2) are in the ration
X ⇋ Y + Z and A⇋ 2B Are in the ratio of 9:1. If the degree of dissociation of X and A be equal, then total pressure at equilibrium (1) and (2) are in the ration
Answer: Option C
:
C
Suppose total pressure at equilibrium for reactions 1 and 2 areP1andP2respectively
X⇋Y+ZInitialmoles100Atequilibrium1−xxx
Totalmoles=1+α
Partial pressure of X=px=(1−x)XP11+x
Py<=(x)XP11+x=Pz
(KP1=PYPZ/Px=x2P1/(1−x2)≈x2P1
A⇋2BhlineInitialmoles10Atequilibrium1−x2x
Totalmoles=1+α
PA=(1−x)XP21+xPB=(2x)XP21+x
KP2=P2B/PA=4x2P2/(1−x2)≈4x2P2
KP1/KP2=x2P1/4x2P2=9/1
P1/P2=36/1
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:
C
Suppose total pressure at equilibrium for reactions 1 and 2 areP1andP2respectively
X⇋Y+ZInitialmoles100Atequilibrium1−xxx
Totalmoles=1+α
Partial pressure of X=px=(1−x)XP11+x
Py<=(x)XP11+x=Pz
(KP1=PYPZ/Px=x2P1/(1−x2)≈x2P1
A⇋2BhlineInitialmoles10Atequilibrium1−x2x
Totalmoles=1+α
PA=(1−x)XP21+xPB=(2x)XP21+x
KP2=P2B/PA=4x2P2/(1−x2)≈4x2P2
KP1/KP2=x2P1/4x2P2=9/1
P1/P2=36/1
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