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PhysicsThermodynamics

Maxwell-Boltzmann Speed Distribution: Oxygen Between 100 and 150 m/s

Integrate the Maxwell-Boltzmann speed density for oxygen at 250 K over 100–150 m/s and report the molecular fraction to two significant figures.

Question

For oxygen gas at 250 K, calculate the proportion of molecules whose speeds lie from 100 m/s to 150 m/s using numerical integration (for example, Simpson’s rule). Take the O₂ molar mass as 32.0 g/mol. Give the result to two significant figures.

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Evidence boundary

The result is a probability predicted by the classical ideal-gas equilibrium model, not a measured molecule count. Both speed endpoints, temperature, gas species, numerical-integration requirement, and requested precision come from OpenStax Problem 70. Endpoint inclusion does not affect this continuous probability.