An equilibrium mixture in a vessel of capacity 100 litre contain 1 mol `N_(2)` , 2 mol `O_(2)` and 3 mol NO. NO. of mole of `O_(2)` to be added so that new equilibrium the conc. Of

Options

A. `(101//18)`
B. `101//9)`
C. `(202//9)`
D. None of these

Answer

A

Explanation

`{:(N_(2),+,O_(2),hArr,2NO),(0.01M,,0.02M,,0.03M):}`
`K_(c) = (0.03^(2))/(0.01xx0.02) = 4.5`
Let a moles of `O_(2)` be added
`{:(N_(2),+,O_(2),hArr,2NO),(0.01-x,,0.02+a-x,,0.03+2x):}`
`0.03+2x = 0.04`
`implies` `x=0.005`
i.e., `4.5 = ((0.04)^(2))/((0.015+a)(0.005))`
Moles of `O_(2)` added `=axx100 = (101)/(18)`