Question
Question: Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are ...
Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative –
A
V1= V2,V3 = V4 and V2> V3
B
V1 = V2,V3 = V4 and V2< V3
C
V1 = V2 =V3 = V4
D
V4 > V3 >V2> V1
Answer
V1= V2,V3 = V4 and V2> V3
Explanation
Solution
From ideal gas equation PV = µRT̃Slope of P-T curve
= 
̃ Slope ∝ 
It means line of smaller slope represent greater volume of gas. For the given problem figure; Point 1 and 2 are on the same line so they will represent same volume i.e. V1 = V2; similarly point 3 and 4 are on the same line so they will represent same volume i.e. V3 = V4; Also slope of line 1-2 is less than 3-4. Hence (V1=V2) >(V3=V4)