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Assume that the decomposition of HNO(3) ...

Assume that the decomposition of `HNO_(3)` can be represented by the following equation
`4HNO _(3) (g) hArr 4 NO _(2) (g) + 2 H _(2) O (g) + O _(2) (g)`
And at the given temperature 400 K and pressure 30 atm the reaction approaches equilibrium. Atequilibrium partial pressure of `HNO_(3)` is 2 atm. Find `K_(c)` in (mol/lit)

A

32

B

24

C

18

D

16

Text Solution

Verified by Experts

The correct Answer is:
A
`4 H NO _(3) (g) hArr 4 NO _(2) (g) + 2 H _(2) + O _(2)`
`{:(P ^(0) , -,-,-,"initla press"), (p ^(0) - 4x, 4x, 2x, x, "equi press"):}`
`p ^(0)+ 3x = 30`
`p ^(0) - 4x = 2`
`x = 4`
`K _(P) = (16) ^(4) (8) ^(2) ((4)/( 2 ^(4))) . K _(P) = K _(c) (RT ) ^( Delta n), 1048576.K_(c) [ 0. 0 82 xx 400] ^(3) K _(c) = 300 ("mol/litre") ^(3)`
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