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For the equilibrium AB (g) hArr A(g) + B...

For the equilibrium `AB (g) hArr A(g) + B (g)` at a given temperature, one-third of AB is dissociated. The equilibrium pressure of the system is

A

8 times `K _(P)`

B

16 times `K _(P)`

C

4 times `K _(P)`

D

9 times `K _(P)`

Text Solution

Verified by Experts

The correct Answer is:
A
`AB (g) hArr A (g) + B (g)`
`{:(t =0, a, 0,0),(t = t _(eq), a-x, x,x):}`
`implies K _(P) = ( P _(A) P _(B))/( P _(AB)) = (((x )/( a + x ) P ) ((x)/(a+x) P))/(((a - x )/( a + x) P)) implies K _(P) = (x ^(2) P )/(a ^(2) - x ^(2)) and alpha = (x )/(a) = (1)/(3) implies P = 8 K _(P)`
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