PA and PB are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If XA represents the mole fraction of component A, the total pressure of the solution will be.

  • Option 1)

    PA + XA ( PB - PA)

  • Option 2)

    PA + XA (PA - PB)

  • Option 3)

    PB + XA (PB - PA)

  • Option 4)

    PB + XA (PA - PB)

 

Answers (1)

Vapour pressure of A = X_{A}P_{A}

B=X_{B}P_{B}

=\left ( 1-X_{A} \right )P_{B}

Total pressure = vapour pressure of A+ vapour pressure of B

=X_{A}X_{A}+\left ( 1-X_{A} \right )P_{B}

=P_{B}+X_{A}\left ( P_{A}-P_{B} \right )


Option 1)

PA + XA ( PB - PA)

Incorrect option

Option 2)

PA + XA (PA - PB)

Incorrect option

Option 3)

PB + XA (PB - PA)

Incorrect option

Option 4)

PB + XA (PA - PB)

Correct option

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