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At 1000 K, if the equilibrium constant K...

At 1000 K, if the equilibrium constant `K_(p)` for the reaction.
`2NOCl(g)hArr2NO(g)+Cl_(2)(g)`
is `4.157xx10^(-4)` bar, the `K_(c)` (in mol`L^(-1)`) is (R = 0.083 L bar `K^(-1)mol^(-1)`)

A

`4.16xx10^(-7)`

B

`4.16xx10^(-4)`

C

`5.0xx10^(-4)`

D

`5.0xx10^(-6)`

Text Solution

Verified by Experts

The correct Answer is:
D

`K_(p)=K_(c)(RT)^(Deltan)`
Where,
`K_(C)andK_(p)` = Equilibrium constants
R = Gas constant (0.083 L`"bar"^(-1)xx"mol"^(-1)`)
T = Temperature (1000K)
`Deltan` = Number of gaseous moles of product - Moles of reactant
`K_(c)=4.157xx10^(-4)`
`Deltan=3-2=1`
`K_(C)=K_(b)/(RT)=(4.157xx10^(-4))/(0.083xx1000)`
= `5.0xx10^(-6)`
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