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Which of the following relation is corre...

Which of the following relation is correct for an ideal regarding its pressure (p) and translational kinetic energy per unit volume (E ) ?

A

`p=(3)/(2)E`

B

`p=(2)/(3)E`

C

`p=(1)/(2)E`

D

`p=2E`

Text Solution

Verified by Experts

`(b)E=(E')/(V)=(1)/(2)(mNU_(ms)^(2))/(V)=(3)/(2)xx(1)/(3)(mNU_(ms)^(2))/(V)=(3)/(2)p`
`P=(2)/(3)E`
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Knowledge Check

  • Kinetic energy per unit volume of a gas is

    A
    `(3P)/2`
    B
    `(2P)/3`
    C
    `P/2`
    D
    `P/3`

  • If P is the pressure of gas then translational kinetic energy per unit volume of the gas is

    A
    `(P)/(2)`
    B
    P
    C
    `(3)/(2)P`
    D
    2P

  • The pressure exerted in terms of total kinetic energy per unit volume (E) is

    A
    `3/2`E
    B
    E
    C
    `2/3`E
    D
    `sqrt3`E

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