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Two closed vessels of equal volune conta...

Two closed vessels of equal volune contain air at 105kPa, 300K and are connected through a narrow tube. If one of the vessels is mow maintained at 300K and the other at 400K, what will be the pressure in the vessels?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the ideal gas law and the concept of equilibrium in connected vessels. ### Step 1: Understand the Initial Conditions We have two closed vessels of equal volume containing air at an initial pressure \( P_0 = 105 \, \text{kPa} \) and temperature \( T_0 = 300 \, \text{K} \). One vessel is maintained at \( T_0 = 300 \, \text{K} \) and the other at \( T' = 400 \, \text{K} \). ### Step 2: Define Variables Let: - \( P' \) = final pressure in both vessels after equilibrium ...
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Two closed vessels of equal volume contain air at P_(0) pressure, T_(0) temperature and are connected through a narrow tube, If one of the vessels is now maintained at T_(0) and other at T, what will be the pressure in the vessels?

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Knowledge Check

  • 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))`

  • 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 in 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))`

  • Vessel A contains an ideal gas at a pressure 5xx10^(5) Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four time greater inner volume contains the same gas at a pressure 10^(5) Pa and is connected to a heat source which maintains its temperature at 400 K . What will be the pressure of entire system if two vessels are connected by a narrow tube tap:-

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    `10^(5)Pa `
    B
    `2xx10^(5)Pa`
    C
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    `5xx10^(5)Pa`

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