In the equilibrium, `2SO _(2 (g)) + O _(2(g)) hArr 2 SO _(3 (g))` the partial pressure of `SO _(2), O _(2) and SO _(3)` are 0.662,0.101 and 0.331 atm respectively. What should be the partial pressure of oxygen so that the equilibrium concentration of `SO _(2) and SO _(3)` are equal: `0.404 atm`, `1.01 atm`, `0.808 atm`, `0.2475 atm`

Options

A. `0.404 atm`
B. `1.01 atm`
C. `0.808 atm`
D. `0.2475 atm`

Answer

A

Explanation

`K _(P) = ((P _(SO _(3))) ^(2))/((P _(SO _(2)) ) ^(2) (P _(O _(2)))) = (( 0.331 ) ^(2))/( ( 0. 662) ^(2) xx 0. 101 ) = 2. 475`
If `P _(SO _(3)) = P_(SO _(2)) ` then `P _(O _(2)) = (1)/( K _(P)) = (1)/( 2. 475) = 0.404` atm