MCQ
$\mathrm{CO}_{2}$ gas is bubbled through water during a soft drink manufacturing process at $298\, \mathrm{~K}$. If $\mathrm{CO}_{2}$ exerts a partial pressure of $0.835$ bar then $x \,\mathrm{~m} \,\mathrm{~mol}$ of $\mathrm{CO}_{2}$ would dissolve in $0.9\,\mathrm{~L}$ of water. The value of $x$ is $.....$ (Nearest integer)

(Henry's law constant for $\mathrm{CO}_{2}$ at $298\, \mathrm{~K}$ is $1.67 \times 10^{3}$ $bar$)

  • A
    $50$
  • B
    $25$
  • C
    $55$
  • D
    $35$

Answer

From Henry's Law

$0.835=1.67 \times 10^{3} \times \frac{\mathrm{n}\left(\mathrm{CO}_{2}\right)}{\frac{0.9 \times 1000}{18}}$

$\mathrm{n}\left(\mathrm{CO}_{2}\right)=0.025$

Millimoles of $\mathrm{CO}_{2}=0.025 \times 1000=25$

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