Unit 5 Section 2 Deriving the Pressure of an Ideal Gas

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Part 1

1. m x u - (-mu) = 2mu

2. (2 x m x u) x u / 2 x l

3. (2 x m x u^2)/2 x l = (m x u^2) / l

4. F = m (u^2 + u^2 + u^2 + etc) / l

5. total u^2 = u^2 + u^2 + u^2 + etc / N

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Part 2

6. F = (N x m x total u^2) / l

7. pressure = force / area = ((N x m x total u^2) / l) / l^2 = (N x m x total u^2) / l^3

= (N x m x total u^2) / V

8. p = (1/3 x N x m x (Crms)^2) / 2

9. pV = 1/3 x N x m x (Crms)^2

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