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

Multiple Choice

Dust particles in a grain elevator frequently have masses of the order of 1.0 × 10^-9 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 27°C? The Boltzmann constant is 1.38 × 10^-23 J/K .

A) 3.5 × 10^-6 m/s
B) 5.6 × 10^-5 m/s
C) 7.8 × 10^-4 m/s
D) 5.2 × 10^-3 m/s
E) 4.9 × 10^-2 m/s