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2.4 Exercise 5

Avg difficulty 2.5

Using the approximation ∫v1v1+Δvf(v)dv≈f(v1)Δv\int_{v_{1}}^{v_{1} + \Delta v} f \left(v\right) d v \approx f \left(v_{1}\right) \Delta v for small Δv\Delta v, estimate the fraction of nitrogen molecules at a temperature of 3.00×102K3.00 \times 10^{2} \text{K} that have speeds between 290 m/s and 291 m/s.

OpenStax University Physics Volume 2, 2.4 Distribution of Molecular Speeds, exercise 5

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Adapted from University Physics Volume 2 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 2. Imported at revision db44eb9.