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  • Help me please, Internal energy and pressure of a gas per unit volume are related as

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

  • Option 1)

    P = \frac{2}{3}E

  • Option 2)

    P = \frac{3}{2}E

  • Option 3)

    P = \frac{1}{2}E

  • Option 4)

    P = 2E

 

Answers (1)

best_answer

As we learnt in 

Kinetic Theory of Gases -

Particles of a gas are always in constant and random motion.

-

 

KE= \frac{3}{2}RT= \frac{3}{2}PV

\therefore P= \frac{2}{3}\: \frac{E}{V} 

For unit volume \left ( V=1 \right )\Rightarrow P= \frac{2}{3}E


Option 1)

P = \frac{2}{3}E

Correct

Option 2)

P = \frac{3}{2}E

Incorrect

Option 3)

P = \frac{1}{2}E

Incorrect

Option 4)

P = 2E

Incorrect

Posted by

Aadil

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