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JEE Main 202117 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2021 · 17 March · Morning Shift · Chemistry · Solutions

The oxygen dissolved in water exerts a partial pressure of 20kPa in...

The oxygen dissolved in water exerts a partial pressure of 20kPa20kPa in the vapour above water. The molar solubility of oxygen in water is ______ ×10−5moldm−3.\times {10}^{- 5}mol{dm}^{- 3} .

(Round off to the Nearest Integer).

[Given : Henry's law constant =KH=8.0×104kPa= {K}_{H} = 8 . 0 \times {10}^{4}kPa for O2.{O}_{2} . Density of water with dissolved oxygen=1.0kgdm−3= 1 . 0kg{dm}^{- 3}]

Correct answer

0

Step-by-step solution

P=KH⋅xP = {K}_{H} \cdot x

or, 20×103=(8×104×103)×nO2nO2+nwater20 \times {10}^{3} = \left(8 \times {10}^{4} \times {10}^{3}\right) \times \dfrac{{n}_{{O}_{2}}}{{n}_{{O}_{2}} + {n}_{\text{water}}}

or, 14000=nO2nO2+nwater=nO2nwater\dfrac{1}{4000} = \dfrac{{n}_{{O}_{2}}}{{n}_{{O}_{2}} + {n}_{\text{water}}} = \dfrac{{n}_{{O}_{2}}}{{n}_{water}}

Means 11 mole water (=18gm=18ml)\left(= 18gm = 18ml\right) dissolves

14000\dfrac{1}{4000} moles O2.{O}_{2} . Hence, molar solubility

=(14000)18×1000=172moldm−3= \dfrac{\left(\dfrac{1}{4000}\right)}{18} \times 1000 = \dfrac{1}{72}mol{dm}^{- 3}

=1388.89×10−5moldm−3≈1389×10−5moldm−3= 1388 . 89 \times {10}^{- 5}mol{dm}^{- 3} \approx 1389 \times {10}^{- 5}mol{dm}^{- 3}

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