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The formation of amoonia from nitrogen a...

The formation of amoonia from nitrogen and hydrogen gases can be written by the following two equations:
a. `1/2 N_(2)(g)+3/2H_(2)(g) lt lt NH_(3)(g)`
b. `1/3 N_(2)(g)+H_(2)(g) lt lt 2/3 NH_(3)(g)`
The two equations have equilibrium constants `K_(1)` and `K_(2)` respectively. The relationship between the equilibrium constant is

A

`K_(1)=K_(2)^(2)`

B

`K_(1)^(3)=K_(2)^(2)`

C

`K_(1)^(2//3)=K_(2)`

D

`K_(1)=K_(2)^(3//2)`

Text Solution

Verified by Experts

The correct Answer is:
C, D

i. `(1)/(2)N_(2)(g)+(3)/(2)H_(2)overset(K_(1))(hArr)NH_(3)`
`:. K_(1)=([NH_(3)])/([N_(2)]^(1//2)[H_(2)]^(3//2))`
ii. `(1)/(3)N_(2)(g)+H_(2)(g)overset(K_(2))(hArr)(2)/(3)NH_(3)(g)`
`:.K_(2)=([NH_(3)]^(2//3))/([N_(2)]^(1//3)[H_(2)])`
`:. K_(2)=K_(1)^(2//3)`
or `K_(1)=K_(2)^(3//2)`
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