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At 550 K, the K for the following reacti...

At 550 K, the K for the following reaction is `10^(4) mol L^(-1)`.
`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

`2 xx 10^(-4)`

B

`10^(-4)`

C

`2 xx 10^(4)`

D

`10^(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`X(g) + Y(g) hArr Z(g)`
`[X] = 1/2 [Y] = 1/2 [Z] ("At equilibrium")`
`K_(c) = 10^(4) mol L^(-1)`
`:. K_(c) = [Z]/([X][Y])`
`10^(4) = [Z]/(1/2[Z][Z])`
`implies 1/2[Z] = 1 xx 10^(-4)`
`implies [Z] = 2 xx 10^(-4) molL^(-1)`
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