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AP EAMCET202017 Sep 2020Morning ShiftPhysicsKinetic Theory of GasesActual

A gas volume (251 ~cm ^3 ) at (20^ C ) and pressure (78 ~cm ) of ( Hg ). Find its volume at NTP

Options

  1. A(420 ~cm ^3 )
  2. B(440 ~cm ^3 )
  3. C(263.8 ~cm ^3 )
  4. D(100 ~cm ^3 )

Correct answer

C. (263.8 ~cm ^3 )

Step-by-step solution

Volume of gas, (V=251 ~cm ^3 ) Temperature, ( aligned & T₁=20^ C =273+20=293^ K & p₁=78 ~cm of Hg aligned ) At NTP, Temperature, (T₂=300 ~K ) Pressure, ( aligned & p₂=76 ~cm of Hg & V₂=? aligned ) According to ideal gas equation, ( aligned & p₁ V₁ T₁ = p₂ V₂ T₂ & V₂= p₁ V₁ T₂ p₂ T₁ = 78 251 300 76 293 & =263.8 ~cm ^3 aligned ) No option is matched.

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