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Assuming the expression for the pressure...

Assuming the expression for the pressure exerted by the gas on the walls of the container, it can be shown that pressure is

A

`[(1)/(3)]^(rd)` kinetic energy per unit volume of a gas

B

`[(2)/(3)]^(rd)` kinetic energy per unit volume of a gas

C

`[(3)/(4)]^(rd)` kinetic energy per unit volume of a gas

D

`(3)/(2)xx` kinetic energy per unit volume of a gas

Text Solution

Verified by Experts

The correct Answer is:
B

According to Kinetic of gases , the pressure exerted by the gas on the walls of container is
`p=p_(0)+p_(1)+p_(2)`
`"i.e " p=p_(0)+(1)/(3)8v^(2)+3gh`
for a container ,
`p_(1)=(1)/(3)rhov^(2)=(1)/(3)(m)/(v).v^(2)xx(2)/(2)`
`(2)/(3)KE[KE=(1)/(2)mv^(2)]`
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Knowledge Check

  • The pressure exerted by the gas on the walls of a container is measured by

    A
    rate of change of momentum imparted to walls perr unit area of the wall
    B
    momentum imparted to walls per unit area
    C
    change of momentum imparted to wall sperr unit area
    D
    change of momentum pe unit volume
  • Pressure exerted by gas is

    A
    independent of the density of the gas
    B
    inversely proportional to the density of the gas
    C
    directly proportional to the density of the gas
    D
    directly proportional to the square of the density of the gas
  • The pressure exerted by the gas molecule is

    A
    `P=(1)/(3)(mnc^(2))/(v)`
    B
    `P=(1)/(3)(M)/(v)c^(2)`
    C
    `P=(1)/(3)rhoc^(2)`
    D
    all of these
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