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[Solved] Dissolving 120 g of a compound of mol. wt. 60 in 1000 g of water gave a solution of density 1.12 g/ mL. The molarity of the solution is:

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Dissolving 120 g of a compound of mol. wt. 60 in 1000 g of water gave a solution of density 1.12 g/ mL. The molarity of the solution is:

(a) 1.00 M

(b) 2.00 M

(c) 2.50 M

(d) 4.00 M

1 Answer
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Answer is: (b) 2.00 M

Explanation:

Given

mass of solute (w) = 120 g

mass of solvent (w) = 1000 g

Mol. mass of solute = 60 g

density of solution = 1.12 g/ mL

From the given data,

Mass of solution = 1000 + 120 = 1120 g

d = \(\frac{Mol.\;mass}{V}\) or 

V = \(\frac{Mol.\;mass}{d}\)

Volume of solution V = \(\frac{1120}{1.12}\)

= 1000mL

or = 1 litre

Now molarity (M) = \(\frac{W}{Mol.\; mass \times V(lit)}\)

= \(\frac{120}{60 \times 1}\)

= 2M

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