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Figure shows the volume versus temperatu...

Figure shows the volume versus temperature graph for the same mass of a gas (assumed ideal) corresponding to two different pressure `P_(1) and P_(2)`. Then

A

`P_(1) gt P_(2)`

B

`P_(1) lt P_(2)`

C

`P_(1) = P_(2)`

D

The information is insufficient

Text Solution

Verified by Experts

The correct Answer is:
A

Since the graph is a straight line.
so, `V = mT` where `m` is the slope,
`=(nRT)//P` [from equation of state]
or `m prop (1//P)` or, `m_(2) gt m_(1) :. P_(2) lt P_(1)`.
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  • Volume versus temperature graphs for a given mass of an ideal gas are shown in Fig. at two different values of constant pressure. What can be inferred about relation between P_(1) and P_(2) ?

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    `T_(1) = T_(2)`
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