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

`2SO_(2)+O_(2)hArr2SO_(3)`
`K_(c)=100`
`a.K_(c)=(n_(SO_(3))^(2)V)/(n_(SO_(2))^(2)xxn_(O_(2)))`
`100=10/(n_(O_(2))) ( :' n_(SO_(3))^(2)=n_(SO_(2))^(2))`
`n_(O_(2))=10/100=0.1`
b. `100=((2a)^(2))/(a^(2))xx10/(n_(O_(2)))`
`100=4xx10/(n_(O_(2)))`
`n_(O_(2))=(4xx10)/100=0.4`