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BITSAT2013PhysicsThermodynamicsActual

Two gases occupy two containers A and B the gas in A , of volume 0.10 ~m ³, exerts a pressure of 1.40 MPa and that in B of volume 0.15 ~m ³ exerts a pressure 0.7 MPa . The two containers are united by a tube of negligible volume and the gases are allowed to intermingle. Then if the temperature remains constant, the final pressure in the container will be (in MPa)

Options

  1. A0.7
  2. B0.98
  3. C1.4
  4. D210

Correct answer

B. 0.98

Step-by-step solution

We know that P _ A V _ A = n _ A RT , P _ B V _ B = n _ B RT array ll & and P_ f (V_ A +V_ B )= (n_ A +n_ B ) R T & P_ f (V_ A +V_ B )=P_ A V_ A +P_ B V_ B & P_ f = ( P_ A V_ A +P_ B V_ B V_ A +V_ B ) & = 1.4 0.1+0.7 0.15 0.1+0.15 MPa =0.98 MPa array

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