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Two closed vessels of equal volume conta...

Two closed vessels of equal volume containing air at pressure `P_(1)` and temperature `T_(1)` are connected to each other through a narrow tube. If the temperature in one of the vessels is now maintained at `T_(1)` and that in the other at `T_(2)`, what will be the pressure in the vessels?

A

`(2P_(1) T_(1))/( T_(1) + T_(2))`

B

`(T_(1))/( 2P_(1) T_(2))`

C

`(2P_(1)T_(2))/( T_(1) + T_(2))`

D

`(2P_(1))/( T_(1) + T_(2))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure P_(i) and temperature T_(1) are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T_(2) . The final pressure P_(f) is :

    A
    `p_(i) ((T_(1)T_(2))/(T_(1) + T_(2)))`
    B
    `2p_(i) ((T_(1))/(T_(1) + T_(2)))`
    C
    `2 P_(i) ((T_(2))/(T_(1) + T_(2)))`
    D
    `2 p_(i) ((T_(1) T_(2))/(T_(1) + T_(2)))`

  • Two closed bulbs of equal volume ( V) containing an ideal gas initially at pressure p_(i) and temperature T_(1) are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T_(2) . The final pressure p_(f) is:

    A
    `2p,((T_(2))/(T_(1)+T_(2)))`
    B
    `2p,((T_(1)T_(2))/(T_(1)+T_(2)))`
    C
    `p,((T_(1)T_(2))/(T_(1)+T_(2)))`
    D
    `2p,((T_(1))/(T_(1)+T_(2)))`

  • Two closed bulb of euqal volume (V) containing an ideal gas initially at pressure p_(i) and Temperature T_(1) are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then released to T_(2) . The final pressure p_(t) is :

    A
    `2p_(i)((T_(1))/(T_(1)+T_(2)))`
    B
    `2p_(i)((T_(2))/(T_(1)+T_(2)))`
    C
    `p_(i)((T_(1)T_(2))/(T_(1)+T_(2)))`
    D
    `2p_(i)((T_(1)T_(2))/(T_(1)+T_(2)))`

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