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Show a vertical cylindrical vesse sepera...

Show a vertical cylindrical vesse seperated in two parts by a frictionless piston free to move along the length of vessel. The length of the cylilender is 90 cm and the piston divides the cylinder in the ratio of 5:4. Each of the two parts of the vessel contains 0.1 mole of an ideal gas. The temoerature of the gas is 300K in each part. Calculate the mass of the piston.(figure)

A

14kg

B

12.7kg

C

16kg

D

15kg

Text Solution

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The correct Answer is:
b
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Knowledge Check

  • A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l_(1) , and that below the piston is l_(2) , such that l_(1)gtl_(2) . Each part of the cylinder contains n moles of an ideal gas at equal temeprature T. If the pistion is stationary, its mass, m, will be given by : (R is universal gas constant and g is the acceleration due to gravitey)

    A
    `(RT)/(ng)[(l_(1)-3l_(2))/(l_(1)l_(2))]`
    B
    `(RT)/(g)[(2l_(1)+l_(2))/(l_(1)l_(2))]`
    C
    `(nRT)/(g)[(1)/(l_(2))+(1)/(l_(1))]`
    D
    `(nRT)/(g)[(l_(1)-l_(2))/(l_(1)l_(2))]`

  • A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l_(1) , and that below the piston is l_(2) , such that l_(1)gtl_(2) . Each part of the cylinder contains n moles of an ideal gas at equal temeprature T. If the pistion is stationary, its mass, m, will be given by : (R is universal gas constant and g is the acceleration due to gravitey)

    A
    `(RT)/(ng)[(l_(1)-3l_(2))/(l_(1)l_(2))]`
    B
    `(RT)/(g)[(2l_(1)+l_(2))/(l_(1)l_(2))]`
    C
    `(nRT)/(g)[(1)/(l_(2))+(1)/(l_(1))]`
    D
    `(nRT)/(g)[(l_(1)-l_(2))/(l_(1)l_(2))]`

  • A vertical cylinder of height 1.52m is fitted with a movable piston of negligible mass and thickness. The lower half of the cylinder contains ideal gas and upper half is filled with Hg. The cylinder is initially at 300K. When the temperature is raised, half of the mercury comes out of cylinder. The temperature is: (Assume no thermal expansion for Hg)

    A
    337.5K
    B
    364.5K
    C
    546K
    D
    600K

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