A `20` litre container at `400 K` contains `CO_(2) (g)` at pressure `0.4 atm` and an excess of `SrO` (neglect the volume of solid `SrO`). The volume of the container, when pressure of `CO_(2)` attains its maximum value, will be:
(Given that: `SrCO_(3)(s) hArr SrO(s) +CO_(2)(g)K_(p) =1.6 atm`)

Options

A. 5 L
B. 10 L
C. 4 L
D. 2 L

Answer

A

Explanation

For the reaction,
`SrCO_(3)(S)hArrSrO(S)+CO_(2)(q),`
`K_(p)=1.6" atm "=p_(CO_(2))="maximum pressure of "CO_(2)`
Given, `p_(1)=0.4"atm", V_(1)=20 L, T_(1)=400K`
`p_(2)=1.6"atm, V"_(2)=?, T_(2)=400 K `
At constant temperature, `p_(1)V_(1)=p_(2)V_(2)`
`0.4xx20=1.6xxV_(2)`
`V_(2)=(0.4xx20)/(1.6)=5L`