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The density of the solution is 1.55 g/mL. The molality of the solution is 0.56 m

ID: 699987 • Letter: T

Question

The density of the solution is 1.55 g/mL.

The molality of the solution is 0.56 m.

We define the molality of a solution as

molality = moles of solute/kg of solvent (carbon tetrachloride).

Assume that we have 1 kg of the solvent; therefore, we can write,

0.56 m = (moles of benzene)/(1 kg carbon tetrachloride)

====> moles of benzene = 0.56.

Molar mass of benzene, C6H6 = (6*12.01 + 6*1.008) g/mol = 78.108 g/mol.

Mass of benzene dissolved = (0.56 mole)*(78.108 g/mol) = 43.74048 g.

The total mass of the solution = 43.74048 g + 1 kg = 43.74048 g + (1 kg)*(1000 g/1 kg) = 1043.74048 g.

The volume of the solution = (1043.74048 g)/(1.55 g/mL) = 673.38095 mL = (673.38095 mL)*(1 L/1000 mL) = 0.67338095 L.

Molarity of the solution = (0.56 mole)/(0.67338095 L) = 0.831624 mol/L 0.8316 M (ans).

Explanation / Answer

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