Question

The density of 0.5 m glucose solution is 1.09 g/ml. find molality of solution

Answer 1

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Answer 2

Given,

Density of a glucose solution = 1.09 g/ml

Molarity = 0.5 M

To find,

The molality of the solution.

Solution,

The molality of the glucose solution is 0.545 moles/kg.

We can simply solve the numerical problem by the following procedure.

We know that,

Molarity is moles per liter.

Thus,

It is given in the question that there are 0.5 moles in a one-liter solution of glucose.

Now,

We have to find the molality of the solution, which is the moles per volume of the solvent in kg.

We know that,

Weight of the solution = 1000 * 1.09 g

                                       = 1.09 kg

Weight of the solute = 0.5 x 346

                                    = 173 g

                                    = 0.173 kg

Thus,

Molality = $\frac{0.50}{0.917}$

              = 0.545 moles/kg

As a result, The molality of the glucose solution is 0.545 moles/kg.