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calculate the number density (n/v) of the oxygen molecules for a pressure of 101,325 pa and temperature of 190 k

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The number density of the oxygen molecules for a pressure of 101,325 pa and temperature of 190K is 2.053g/L.

The density of an ideal gas can be calculated from the ideal gas law equation as follows:

PV = gRT/M

where;

  • P = pressure
  • V= volume
  • T = temperature
  • g = weight of the gas
  • R = the ideal gas constant
  • M = molecular mass

This equation may be rearranged to give the density of the gas :

r = g/V = PM/RT.

r = 101325 × 32/8.314 × 190

r = 2.053g/L

User Roger Hill
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