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The total KE of all the molecules of helium having a volume V exerting a pressure p is 1500J The total KE in joule of all the molecules of N₂ having the same volume V and exerting a pressure 2p is

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3000

4000

5000

6000

answer is A.

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Detailed Solution

$\begin{array}{l} P = \frac{2}{3} E \Rightarrow PαE \Rightarrow \frac{P_{1}}{P_{2}} = \frac{E_{1}}{E_{2}} \Rightarrow \frac{P}{2 P} = \frac{1500}{E_{2}} \\ E_{2} = 3000 J \end{array}$

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