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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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Knowledge Check

  • 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) ?

    A
    `P_(1) gt P_(2)`
    B
    `P_(1) = P_(2)`
    C
    `P_(1) lt P_(2)`
    D
    data is insufficient.

  • Pressure versus temperature graph of an ideal gas as shown in Fig. Corresponding density (rho) versus volume (V) graph will be

    A
    B
    C
    D

  • Figure shows the pressure P versus volume V graphs for a certains mass of a gas at two constant temperature T_(1) and T_(2) . Which of the following interface is correct?

    A
    `T_(1) = T_(2)`
    B
    `T_(1) gt T_(2)`
    C
    `T_(1) lt T_(2)`
    D
    no inference can be drawn due to insufficient information
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