Two different masses `m` and `3 m` of an ideal gas are heated separately in a vessel of constant volume, the pressure `P` and absolute temperature `T`, graphs for these two cases are shown in the figure as `A` and `B`. The ratio of slopes of curves `B` to `A` is

Options

A. `3 : 1`
B. `1 : 3`
C. `9 : 1`
D. `1 : 9`

Answer

A

Explanation

Slope `= (P)/(T) = (nR)/(V) =(MR)/(M_(0)V)`
`((P//T)_(B))/((P//T)_(A)) = (3m)/(m) = (3)/(1)`