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Dust Particles in a Grain Elevator Frequently Have Masses of the Order

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Dust particles in a grain elevator frequently have masses of the order of 1.0×109 kg1.0 \times 10 ^ { - 9 } \mathrm {~kg}
If, to a first approximation, we model the dust particles as an ideal gas, what would be the rms speed of such a particle in air at 27C ? 27 ^ { \circ } \mathrm { C } \text { ? } The Boltzmann constant is 1.38×1023 J/K1.38 \times 10 ^ { - 23 } \mathrm {~J} / \mathrm { K }

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