# 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)

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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