Wednesday, June 13, 2012

Surfing For How Many Molecules Of Air Are In A Room?

Michael asks…Help with Physics Homework Please!?!?Estimate the number of air molecules in a room of length 6.0 m, width 2.0 m, and height 4.0 m. Assume the temperature is 20°C. How many moles does that correspond to?

___molNancy answers:PV = nRT = N(kb)(T)

PV/(kb)(T) = N

N = (100,325Pa) {(1N/m^2) / (1Pa)} (48m^3) / (1.38 x 10^-23 J/molecule.K) (1N.m/1J) (293K)

N = 1.24 x 10^27 molecules


This corresponds to:

n = N/Na

n = 1.24 x 10^27 molecules / 6.02 x 10^23 molecules/mol


n =

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