First slide

Calculation of pressure

Question

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 $N_{2}$ having the volume 2V and exerting a pressure 2P is

Easy

A

3000
B

4000
C

5000
D

6000

Solution

$P = \frac{2}{3} E$
$E = \frac{3 P}{2} e n e r g y p e r u n i t v o l u m e$
$T o t a l e n e r g y E = \frac{3 P V}{2}$
$F o r H e, \frac{3 P V}{2} = 1500$
$F o r N_{2}, \frac{3 \times 2 P \times 2 V}{2} = 6 P V = 6000 J$

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