For two samples A and B of ideal gas following curve is plotted between n vs V (volume of container 16.42 atm pressure as follows, then temperature of A and B respectively are:

Options

A. `(200)/(sqrt3) , 200 sqrt3 K`
B. `(200)/(sqrt3) ""^(@) C , (200 sqrt3) ""^(@)C `
C. `200 sqrt3 K , (200)/(sqrt3) K`
D. `200 K , (sqrt3)/(200) K`

Answer

A

Explanation

`n = ((P)/(RT)) V , ` slope of line = `(P)/(RT) = tan theta implies T = (P)/(R tan theta) = (16.42)/(0.0821 tan theta)`
For B , T = `200 sqrt3 K ` For `A , T = (200)/(sqrt3)` K