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) and V_(2)gt V_(3)`
B. `V_(1) = V_(2,) V_(3) = V_(4) and V_(2)lt V_(3)`
C. `V_(1)=V_(2)=V_(3)=V_(4)`
D. `V_(4)=V_(3)=V_(2)=V_(1)`

Answer

A

Explanation

From ideal gas equation pV = `mu`RT
`therefore` Slope of p-T curve, `p/T'(muR)/VrArrSlope prop 1/V`
It means line of smaller slope represent greater volume of gas. In the given problems 1 and 2 are on the same line, so they will represent same volume i.e., `V_(3)= V_(4^.)`
Hence `" "(V_(1)= V_(2)) gt (V_(3)= V_(4))`