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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 figure. Choose the correct alternatives.

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)`

Text Solution

Verified by Experts

The correct Answer is:
C
As `P-T` graphs are straight lines, passing through origin, therefore, `PpropT`. But as `P=((nR)/(V))T`, therefore, the slope of straight line `prop(1)/(V)`.
As `("Slope")_(12)lt("Slope")_(34)therefore V_(2)gtV_(3)`
`therefore V_(1)=V_(2)andV_(3)=V_(4)`
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