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The pressure p of a gas is plotted again...

The pressure `p` of a gas is plotted against its absolute temperature `T` for two different constant volumes, `V_(1)` and `V_(2)` when `V_(1) gt V_(2)`, the

A

curves have the same slope and do not intersect

B

curves must intersect at some point other than `T=0`

C

curves for `V_(2)` has a greater slope than that for `V_(1)`

D

curve for `V_(1)` has a greater slope than that for `V_(2)``

Text Solution

Verified by Experts

The correct Answer is:
C
At constant volumes `P prop T`
`P= "constant" T, PV= nRT :. P=(nR)/(V)T`
Slope `=m=(nR)/(V) :. V_(2) lt V_(1)`
`(m_(1))/(m_(2))= (V_(2))/(V_(1))` is curve for `V_(2)` has a greater slope than for `V_(1)`
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Knowledge Check

  • The pressure P of a gas is plotted against its absolute temperature T for two different constant volumes, V_(1) and V_(2) (for same no. of moles) where V_(1) gt V_(2) , the correct statement is:

    A
    Curves have the same slope and do not intersect
    B
    Curve must intersect at some point other than `T = 0`.
    C
    Curve for `V_(2)` hasa greater slope than that for `V_(1)`
    D
    Curve for `V_(1)` has a greater slope than that for `V_(2)`.

  • The pressure p for a gas is plotted against its absolute temperature T for two different volumes V_(1) and V_(2) . If p is plotted on y- axis and T on x- axis, then

    A
    the curve for `V_(1)` has greater slope than that for `V_(2)`
    B
    the curve for `V_(2)` has greater slope than that for `V_(1)`
    C
    both curves have same slope
    D
    the curves intersect at some point other than `T = 0`

  • An ideal gas in thermally insulated vessel at internal (pressure)=P_(1), (volume)=V_(1) and absolute temperature = T_(1) expands irreversiby against zero external, pressure , as shown in the diagram, The final internal pressure, volume and absolute temperature of the gas are p_(2), V_(2) and T_(2) , respectively . For this expansion

    A
    `q=0`
    B
    `T_(2)=T_(1)`
    C
    `p_(2)V_(2)= p_(1)V_(1)`
    D
    `P_(2)V_(2)^(gamma) =P_(1)V_(2)^(gamma)`
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