If for `2A_(2)B(g)hArr2A_(2)(g)+B_(2)(g),K_(P)="TOTAL PRESSURE" ("at equilibrium") " then:

Options

A. degree of dissociation of `A_(2)B` will be `(2//3)`
B. total no. of moles at equilibrium will be `(14//3)`
C. at equilibrium the no. of moles of `A_(2)B` is not equal to the no. of moles of `B_(2)`
D. at equilibrium the no. of moles of `A_(2)B`is equal to the no. of moles of `A_(2)`

Answer

A

Explanation

`2A_(2)BhArr2A_(2) + B_(2)` , `P_(eq) = P_(0) + (x)/(2) = (x^(2)xx(x)/(2))/((P_(0)-x)^(2))`
`P_(0)-x` x `(x)/(2)`
`P_(0)(-2)/(3)P_(0) = P_(0) + x = (2)/(3)P_(0)`
`=(5)/(6)P_(0) implies P_(0) (3)/(5)P` , `x =(2)/(5)P`
`K_(p) = (((2)/(5)P)^(2)((P)/(5)))/((P)/(5))^(2) = (2)/(5)P`