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Pressure versus temperature graph of an ...

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.

A

`V_(1)=V_(2),V_(3)=V_(4)` and `V_(2)gtV_(3)`

B

`V_(1)=V_(2),V_(3)=V_(4)` and `V_(2)ltV_(3)`

C

`V_(1)=V_(2)=V_(3)=V_(4)`

D

`V_(4)gtV_(3)gtV_(2)gtV_(1)`.

Text Solution

Verified by Experts

The correct Answer is:
A

In isochoric process V-constnat and `P prop` Therefore, P-T graph is a straight line pass through origin. But since
`P=((nR)/(V))T` slope of the straight line `prop(1)/(V)`
`("slope")_(12)lt ("slope")-(34) therefore V_(2)gtV_(3)`
Also `V_(1)=V_(2)` and `V_(3)=V_(4)`'
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