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Question: Answered & Verified by Expert
Internal energy and pressure of a gas per unit volume are related as
ChemistryStates of MatterJEE Main
Options:
  • A $P=\frac{2}{3} E$
  • B $P=\frac{3}{2} E$
  • C $P=\frac{1}{2} E$
  • D $P=2 E$
Solution:
2196 Upvotes Verified Answer
The correct answer is: $P=\frac{2}{3} E$
$K E=\frac{3}{2} R T=\frac{3}{2} P V$
$\therefore P=\frac{2}{3} \frac{E}{V}$ for unit volume $(V=1) \Rightarrow P=\frac{2}{3} E$

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