In a period of 0.9 s, 5.0 1023 nitrogen molecules strike a wall of area 9.0 cm2

Physics
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In a period of 0.9 s, 5.0  1023 nitrogen molecules strike a wall of area 9.0 cm2. If the molecules move at 280 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68  10-26 kg.)
 
Jun 21st, 2015

Thank you for the opportunity to help you with your question!

 the difference of rhe speed when molecules strikes a wall :
∆v = 300 - (-280) = 580 m/s

The force exerted on the wall :
F =n * ∆p/∆t = n * m∆v/∆t = 5.0 × 10^23 * 4.68 × 10^–26 *  580/1 = 13.572 N

The pressure exerted on the wall :
p = F/A = 13.572/9 x 10^-4 = 15080 N/m^2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 21st, 2015


Jun 21st, 2015
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Jun 21st, 2015

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