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MHT CET202310 May 2023Evening ShiftPhysicsKinetic Theory of GasesActual

In a vessel, the ideal gas is at a pressure P . If the mass of all the molecules is halved and their speed is doubled, then resultant pressure of the gas will be

Options

  1. A4 P
  2. B2 P
  3. CP
  4. DP 2

Correct answer

B. 2 P

Step-by-step solution

We know, aligned & v _ ms ^2= 3 PV Nm & P = 1 3 mN V v _ ms ^2 & P v _ ms ^2 & P ₂ P ₁ = m ₂ ~m ₁ [ v ₂ v ₁ ]^2 &= ( m ₁ 2 ) m ₁ [ 2 v ₁ v ₁ ]^2 & . . ( given m ₂= m ₁ 2 and v ₂=2 v ₁ ) aligned P ₂ P ₁ =2 P₂=2 P₁=2 P ( . given . P ₁= P )

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