Consider the partial decomposition of A as
`2A(g)hArr2B(g)+C(g)` At equilibrium 700 ml gaseous mixture contains 100 ml of gas C at 10 atm and 300 K. What is the value of `K_(P)` for the reaction?

Options

A. `(40)/(7)`
B. `(1)/(28)`
C. `(10)/(28)`
D. `(28)/(10)`

Answer

C

Explanation

`underset(v=600)underset(v-2v'+2v'+v'=700)underset(v'=100)underset(v-2v')underset(v)(2A(g))hArrunderset(2v')(2B(g))+underset(v')(C(g))`
`underset(=(40)/(7))underset(10xx(400)/(700))underset(400)(2A(g))hArrunderset((20)/(7))underset(10xx(200)/(700))underset(200)(2B(g))+underset((10)/(7))underset(10xx(100)/(700))underset(100)(C(g))`
`K_(P)=(((20)/(7))^(2)xx(10)/(7))/(((40)/(7))^(2))=(20xx20xx10)/(40xx40xx7)=(10)/(28)`