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Boltzmann Distribution Question

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Marbles of mass M = 12 grams = 0.012 kg are placed on the floor at room temperature (about 20° C = 293 K). They are in thermal equilibrium with their surroundings. What is a typical height above the floor for one of these marbles? (Mgy  kBT)

Dec 10th, 2014

Working equation:

Mgy=kT

y=kT/Mg

k=1.380x10^-23 [m^2*kg/s^2*K]

T = 293 [K]

M = 0.012 [kg]

g = 9.81 [m/s^2]

y = (1.380x10^-23 [m^2*kg/s^2*K])*(293 [K])/((0.012 [kg])*(9.81 [m/s^2])) = 4.55x10^-20 [m]

Dec 11th, 2014

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Dec 10th, 2014
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Dec 10th, 2014
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