If 10 22 gas molecules each of mass 10 - 26 kg collides with a surface (perpendicular to it) elastically per…

If 1022 gas molecules each of mass 10-26 kg collides with a surface (perpendicular to it) elastically per second over an area 1 m2 with a speed 104m/s, the pressure exerted by the gas molecules will be of the order of:
  1.  2 Pa
  2.  4 Pa
  3.  6 Pa
  4.  8 Pa

Solution

Total momentum transferred in one second =n2mv=10222×10-26×104=2
Force experienced by surface =2 N
Pressure on surface =ForceArea=21=2 Pa

Asked in: JEE Main 2019 (08 Apr Shift 1)

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