The molecular gas density at this pressure is 3.2 x 1016 molecules m-3

Rationale

The gas density is easily obtained from the ideal gas law :

   n = ( N / V ) = P / (k.T)     [ molecules. m-3 ]

where :P - pressure [ N m-2 ]
k - Boltzmann's constant ( = 1.38 x 10-23 J K-1 )
T - temperature [ K ]

Hence,

   P = ( 1 x 10-6 / 760 ) x 101325 = 1.333 x 10-4 N m-2

   n = 1.333 x 10-4 / (1.38x10-23 x 300 ) = 3.2 x 1016 molecules m-3

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