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Internal energy and pressure of a gas pe...

Internal energy and pressure of a gas per unit vloume are related as :

A

`P = 2/3 E`

B

`P = 3/2 E`

C

`P = 1/2 E`

D

`P = 2E`

Text Solution

Verified by Experts

The correct Answer is:
A
The total energy of gas is only due to kinetic energy because gaseous molecules are considered as point masses and they do not possess potential energy.
Internal energy E = K.E. = 3/2 RT`
`E = 3/2 PV`
For a unit volume of gas:
`P = (2E)/(3)`
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