A mixture of SO_(3) , SO_(2) and O_(2) gases is maintained at equilibrium in 10 litre flask at a temperature at which K_(c) " for the reaction ," 2SO_(2) (g) + O_(2) (g) hArr 2 SO_(3) (g)"is100 mol"^(-1)litre. At equilibrium . (a) if no. of moles of SO_(3) and SO_(2) in the flask are same, how many moles of O_(2) are present ? (b) if no. of moles of SO_(3) in the flask are twice the number of moles of SO_(2) in the flask are twice the number of moles of SO_(2), how many moles O_(2) are present ?

A mixture of SO_(3) , SO_(2) and O_(2) gases is maintained at equilibr

1.	A mixture of SO_(3) , SO_(2) and O_(2) gases is maintained at equilibrium in 10 litre flask at a temperature at which K_(c) " for the reaction ," 2SO_(2) (g) + O_(2) (g) hArr 2 SO_(3) (g)"is100 mol"^(-1)litre. At equilibrium . (a) if no. of moles of SO_(3) and SO_(2) in the flask are same, how many moles of O_(2) are present ? (b) if no. of moles of SO_(3) in the flask are twice the number of moles of SO_(2) in the flask are twice the number of moles of SO_(2), how many moles O_(2) are present ?
Answer» Solution :` 2 SO_(2) (g) + O_(2) (g) hArr 2 SO_(3) ," " K_(c) = ([SO^(2)])/([SO_(2)]^(2)[O_(2)] = 100)(Given)` (a) As ` [ SO_(3)] = [ SO_(2)] ,:. 100 = 1/([O_(2)]) or [O_(2)] = 1/ 100 molL^(-1)` `:. O_(2) " PRESENT in 10 LITRE " = 1/100 XX 10 = 01 ` MOLE (B)If ` [ SO_(3) ] = 2 [ SO_(2)] , i.e, ([SO_(3)])/([ SO_(2)] )= 2 " then "100= 4/ ([O_(2)] ) or [O_(2)] = 4/100 "mol"L^(-1)` ` :. O_(2) " present in 10 litre "= 4/100 xx 10= 04` mole