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For the pair of reactions given below, ...

For the pair of reactions given below,
I. `N_(2)(g) +3H_(2)(g) hArr 2NH_(3)(g)`
II. `(1)/(2)N_(2)(g) +(3)/(2)H_(2)(g) hArr NH_(3)(g)`
If at a particular temperature, `K_(p1)` and `K_(p2)` are the equilibrium constants for reaction I and II respectively. then

A

`K_(p1) = 2K_(p2)`

B

`K_(p1) = K_(p2)^(2)`

C

`2K_(p1) = K_(p2)`

D

`K_(p1) = K_(p2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`K_(p1) = (p_(NH_(3))^(2))/(p_(N_(2)).p_(H_(2))^(3))` .......(i)
`K_(p2) = (p_(NH_(3)))/(p_(N_(1))^(1//2).p_(H_(2))^(3//2))`
`K_(p2)^(2) = (p_(NH_(3))^(2))/(p_(N_(1))p_(H_(2))^(3))` ...(ii)
On dividing Eq. (ii) by Eq.(i)
`(K_(p1))/(K_(p2)) = 1` or `K_(p1) = K_(p2)^(2)`
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