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STD 12 -1. Solution and colligative properties — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 -1. Solution and colligative properties4 Marks
MCQ
For a binary ideal liquid solution, the total pressure of the solution is given as
  • A
    $P_{total} = P_A^o + (P_A^o - P_B^o )X_B$
  • B
    $P_{total} = P_B^o + (P_A^o - P_B^o )X_A$
  • ✓
    $P_{total} = P_B^o + (P_B^o - P_A^o )X_A$
  • D
    $P_{total} = P_B^o + (P_B^o - P_A^o )X_B$
✓

Answer

Correct option: C.
$P_{total} = P_B^o + (P_B^o - P_A^o )X_A$
c
According to Dalton's law of partial pressure

$p _{ i }= x _{ i } \times P _{ T }$

$P _{ i }=$ partial pressure of the $i ^{\text {th }}$ component

$x _{ i }=$ mole fraction of the $i ^{\text {th }}$ component

$p _{ T }=$ total pressure of mixture

$\Rightarrow 2 atm =\left(\frac{ n _{ H _{2}}}{ n _{ H _{2}}+ n _{ H _{ e }}+ n _{ O _{2}}}\right) \times p _{ T }$

$\Rightarrow p _{ T }=2 atm \times \frac{3}{1}=6 atm$

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