MCQ
Van’t Hoff factor of $BaCl_2$ in its aqueous solution will be : ($BaCl_2$ is $60\%$ ionized in the solution)
  • $1.6$
  • B
    $2.2$
  • C
    $3.6$
  • D
    $4.6$

Answer

Correct option: A.
$1.6$
a
Total volume $=500+1500=2000\, \mathrm{ml}=2\, \mathrm{L}$

Moles of $\left[\mathrm{Na}^{+}\right]$ ions $=0.2 \times 0.5=0.1$

Concentration of $\left[\mathrm{Na}^{+}\right]$ ions $=\frac{0.1}{2}=0.05 \,\mathrm{M}$

Moles of $\left[\mathrm{Mg}^{2+}\right]$ ions $=0.4 \times 1.5=0.6$

Concentration of $\left[\mathrm{Mg}^{2+}\right]$ ions

$=\frac{0.6}{2}=0.3\, \mathrm{M}=7.2\, \mathrm{gm} / \mathrm{L}$

Moles of $\left[\mathrm{Cl}^{-}\right]$ ions $=0.2 \times 0.5+2 \times 0.4 \times 1.5$

                                $=1.3$

Concentration of $[\mathrm{Cl}^-]$ ions $=\frac{1.3}{2}=0.65\, \mathrm{M}$

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