When two gases A and B of 20 ml and 40 ml each are added to 40 ml flask at a pressure of 1 atm and 2 atm respectively. Find the Value of `K_p` if 10 ml of gas C is formed at an equilibrium pressure of 2.25 atm (Assume A, B and C are ideal gases).

Options

A. 0.57
B. `2 xx 10^(-4)`
C. 1.75.
D. `4 xx 10^(-2)`.

Answer

A

Explanation

`A(g)+B(g) Initial
Partial`" "0.5" "2" "0`
At equilibrium`" "0.5-x" "2-x" "x`
`P_T=0.5-x+2-x+x=2.25.`
`x=0.25`
`K_p=(0.25)/((0.25)(1.75))=0.57.`