For the equilibrium AB(g)= A(g) + B(g), K, is
equal to four times the total pressure. The number
of moles of 'A' formed is
Answers
Answer:
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Question from Class 11 Chapter Chemical Equilibrium
For the equilibrium AB(g)⇔A(g)+B(g). Kp is equal to four times the total pressure. Calculate the number moles of A formed if one mol of AB is taken initially.
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Text Solution
Answer :
A::B
Solution :
Let the total equilibrium pressure be=P atm
Given Kp=4P
Let the start be made with 1 mol of AB(g) and the degree if dissociation be x.
AB(g)⇔A(g)+B(g)
at equilibrium,1−xxx
Total "moles" at equilibrium =1−x+x+x=1+x
Thus, pA=Partial pressure of A =x1+xP
pB =Partial pressure of B =x1+x.P
pAB=Partial pressure of AB =1−x1+x.P
Applying the law of mass action
Kp=pA×pBpAB=(x1+x.P)(x1+x.P)(1−x1+x.P)
So 4P=x21−x2.P
or 4−4x2=x2
or 5x2=4
or x=25–√
Hence, number of "moles" of A formed =2/5–√ times initial moles of AB taken.