A mixture of `SO_(2),SO_(3)` and `O_(2)` gases are maintained at equilibrium in 10 litre flask at a temperature at which `K_(c)` for the reaction `2SO_(2)(g)+O_(2)(g)hArr2SO_(3)(g)` is 100. At equilibrium.
a. If no of moles of `SO_(3)` and `SO_(2)` is flask are same, how many moles of `O_(2)` are present.
b. If no. of moles of `SO_(3)` in flask is twice the no. of moles `SO_(2)` how many moles of `O_(2)` are present.

Explanation

Given
`2SO_(2_((g)))+O_(2_((g))) hArr 2SO_(2_((g)))`
Given `K_(C)=100`
Given no. of moles of `SO_(3)`= No. of moles of `SO_(2)`
`K_(C)=([SO_(3)])^(2)/([SO_(2)]^(2)[O_(2)])=((x//10)^(2))/((x//10)^(2)(y//10))`
Given
`K_(C)=100`
`100=(1)/(y//10)`
`:. y=(10)/(100)=0.1`
`:.` No. of moles of `O_(2)=0.1`