Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes is plotted as shown in Fig. Choose the correct alternative.

Options

A. `V_(1)=V_(2)=V_(3)=V_(4)`
B. `V_(4)gtV_(3)gtV_(2)gtV_(1)`
C. `V_(1)=V_(2),V_(3)=V_(4)andV_(2)gtV_(3)`
D. `V_(1)=V_(2),V_(3)=V_(4)andV_(2)ltV_(3)`

Answer

C

Explanation

As P-T graphs are straight lines, passing through origin, therefore, `P prop T.` But as `P=((muR)/(V))T.`
thererore, the slope of straight line `prop(1)/(V)`
`As(Slope)_(12)lt(Slope)_(34)" "thereforeV_(2)gtV_(3)`
As for a given slope, V is constant, therefore,
`V_(1)=V_(2)and V_(3)=V_(4).`