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JEE Main 20254 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2025 · 4 April · Evening Shift · Chemistry · Solutions

Sea water, which can be considered as a 6 molar (6 M) solution of...

Sea water, which can be considered as a 6 molar (6M)(6 \mathrm{M}) solution of NaCl , has a density of 2 g mL−12 \mathrm{~g} \mathrm{~mL}^{-1}. The concentration of dissolved oxygen \left(\mathrm{O}_2\right)inseawateris5.8ppm.Thentheconcentrationofdissolvedoxygen(O2)in sea water is 5.8 ppm. Then the concentration of dissolved oxygen \left(\mathrm{O}_2\right) in sea water, is x×10−4 m\mathrm{x} \times 10^{-4} \mathrm{~m}. x=\mathrm{x}= _______. (Nearest integer)
Given: Molar mass of NaCl is 58.5 g mol−158.5 \mathrm{~g} \mathrm{~mol}^{-1} Molar mass of O2\mathrm{O}_2 is 32 g mol−132 \mathrm{~g} \mathrm{~mol}^{-1}

Correct answer

0

Step-by-step solution

Sea water is 6 Molar in NaCl , So 1000 ml of sea water contains 6 mol of NaCl.
mass of solution = Volume ×\times density
=1000×2=1000 \times 2
mass of solution =2000 g=2000 \mathrm{~g}
<br/> ppm = mass of O22000×106<br> mass of O2=5.8×2×10−3<br>=1.16×10−2 g<br/>\begin{aligned}<br />& \text{ ppm }=\frac{\text{ mass of } \mathrm{O}_2}{2000} \times 10^6 \\<br>& \text{ mass of } \mathrm{O}_2=5.8 \times 2 \times 10^{-3} \\<br>& \quad=1.16 \times 10^{-2} \mathrm{~g}<br />\end{aligned}
molality for O2=1.16×10−2/32(2000−6×58.5)×1000\mathrm{O}_2=\frac{1.16 \times 10^{-2} / 32}{(2000-6 \times 58.5)} \times 1000
=1.16×1032×1649=0.000219=2.19×10−4\begin{aligned} & =\frac{1.16 \times 10}{32 \times 1649} \\ = & 0.000219 \\ = & 2.19 \times 10^{-4}\end{aligned}
Correct answer ⇒2\Rightarrow 2
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