Question

a solution contains 60 grams of sugar in 300 grams of water calculate the concentration of solution​

Answer 1

Explanation:

Answer : The concentration in terms of mass by mass % = 16.667 %

The concentration in terms of mass by volume % = 17.736 %

Solution : Given,

Mass of sugar = 60 gram

Mass of water = 300 gram

Density of sugar = 1.59 g/ml

Density of water = 0.9982 g/ml

Mass by Mass % Calculation :

We have to calculate the concentration in terms of mass by mass %.

(Sugar = solute and water = solvent)

Mass of solute = 60 gram

Mass of solvent = 300 gram

Mass of solution = Mass of solute + Mass of solvent = 60 + 300 = 360 gram

\text{ Concentration mass by mass }\% =\frac{\text{ Mass of solute}}{\text{ Mass of solution}}\times 100=\frac{60g}{360g}\times 100=16.666\% Concentration mass by mass %=

Mass of solution

Mass of solute

×100=

360g

60g

×100=16.666%

Therefore, the concentration in terms of mass by mass % = 16.667 %

Mass by Volume % Calculation :

First we have to calculate the volume of sugar and water.

\text{ Volume of water}=\frac{\text{ Mass of water}}{\text{ Density of water}}=\frac{300g}{0.9982g/ml}=300.54ml Volume of water=

Density of water

Mass of water

=

0.9982g/ml

300g

=300.54ml

\text{ Volume of Sugar}=\frac{\text{ Mass of sugar}}{\text{ Density of sugar}}=\frac{60g}{1.59g/ml}=37.74ml Volume of Sugar=

Density of sugar

Mass of sugar

=

1.59g/ml

60g

=37.74ml

The Volume of solution = Volume of water + Volume of sugar = 300.54 + 37.74 = 338.28 ml

Now we have to calculate the concentration in terms of mass by volume %.

\text{ Concentration mass by volume }\% =\frac{\text{ Mass of solute}}{\text{ Volume of solution}}\times 100=\frac{60g}{338.28g}\times 100=17.736\% Concentration mass by volume %=

Volume of solution

Mass of solute

×100=

338.28g

60g

×100=17.736%

Therefore, the concentration in terms of mass by volume % = 17.736 %

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Answer 2

Given :

• The mass of solute (sugar) = 60 g
• Mass of solvent (water) = 300 g

To Find :

• Concentration of Solution.

Solution :

As we know that ,

Mass of Solution = Mass of Solute + Mass of Solvent.

$\longmapsto\tt{60+300}$

$\longmapsto\tt\bold{360g.}$

Now ,

$\longmapsto\tt\bold{Concentration=\frac{Mass\:of\:Solute}{Mass\:of\:Solvent}\times{100}}$

$\longmapsto\tt{\dfrac{60}{360}\times{100}}$

$\longmapsto\tt\bold{16.6\%}$

So , The Concentration of the Solution is 16.6%.

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Solute :

In a solution , the components which are present in smaller proportion is called as Solute.

Solvent :

In a solution , the components which are present in larger proportion is called as Solvent.

Concentration of Solution :

The relative amount of solute and solvent present in a solution is known as Concentration of Solution.

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