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A 550 K, the K(c) for the following rea...

A 550 K, the `K_(c)` for the following reaction is `10^(4) mol^(-1) L`
`X(g)+Y(g) hArr Z (g)`
At equilibrium, it was observed that
`[X]= (1)/(2)[Y]=(1)/(2)[Z]`
What is the value of [Z] ( in mol `L^(-1))` at equilibrium ?

A

`2xx10^(-4)`

B

`10^(-4)`

C

`2xx10^(4)`

D

`10^(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`K_(c)=([Z])/([X][Y])`
`[X]=(1)/(2)[Y]=(1)/(2)[Z]=a` (say)
`:. [Z]=2a,[Y]=2a,[X]=a`
`:. 10^(4)=(2a)/(a.2a)`
or `a=10^(-4)`
`:. [Z]=2a=2xx10^(-4)`
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