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Molarity

A 5 molal sol...

Question

A 5 molal solution was prepared by mixing solute A (molar mass = 30 g/mol) and solvent B (molar mass = 40 g/mol), if the density of the solution is found to be 1.15 g/mL. Calculate the molarity of the solution.

3 M

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5 M

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10 M

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7 M

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Solution

The correct option is B 5 M
5 molal solution means 5 moles of solute are present in 1000 g of solvent.
Total mass of the solution = mass of solute + mass of solvent
Total mass of solution $= 5 \times m o l a r m a s s o f A + 1000 g (s o l v e n t) = 1150 g$
Since,
$D e n s i t y = \frac{m a s s}{v o l u m e}$
So, $v o l u m e = \frac{1150}{1.15} = 10^{3} m L = 1 L$
$M o l a r i t y = \frac{m o l e s o f s o l u t e}{v o l u m e o f s o l u t i o n i n L}$
$M o l a r i t y = \frac{5}{1} = 5 M$

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Molarity

Standard XIII Chemistry

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