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A plot of volume (V) versus temperature ...

A plot of volume (V) versus temperature (T) for a gas at constant pressure is a straight line passing through the origin . The plots at different values of pressure are shown in figure .
Which of the following order of pressure is correct for this gas ?

A

`P_(1)gt P_(2)gt P_(3)gt P_(4)`

B

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

C

`P_(1)lt P_(2)lt P_(3)lt P_(4)`

D

`P_(1)lt P_(2)=P_(3)lt P_(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
PV = constant at gives temperature
`therefore P_(1)V_(1)=P_(2)V_(2)=P_(3)V_(3)=P_(4)V_(4)`
Now, `V_(1)gt V_(2)gt V_(3)gt V_(4) " "` (From the figure)
Hence, `P_(1)lt P_(2)lt P_(3) lt P_(4) " " (because P prop (1)/(V))`
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