Question

The concentration of a solution by mass percentage is 4% and the mass of the solvent is 42g. Find the volume of the solution, if the density of the solution is 1.87g/mL.​

Answer 1

Answer :-

Volume of the solution is 23.39 mL .

Explanation :-

We have :-

→ Concentration = 4 %

→ Mass of solvent = 42 g

→ Density of solution = 1.87 g/mL

________________________________

Let the mass of the solute, be 'x grams' .

So, mass of solution :-

= Mass of solute + Mass of solvent

= (x + 42) g

________________________________

Putting values in the formula of mass by mass percentage concentration, we get :-

⇒ Mass of solute/Mass of solution × 100

⇒ x/(x + 42) × 100 = 4

⇒ 100x = 4(x + 42)

⇒ 100x = 4x + 168

⇒ 96x = 168

⇒ x = 168/96

⇒ x = 1.75 g

Mass of the solution :-

= Mass of solute + Mass of solvent

= (1.75 + 42) g

= 43.75 g

Volume of the solution :-

= Mass/Density

= 43.75/1.87

= 4375/187

≈ 23.39 mL

Answer 2

Answer:

Question :-

• The concentration of a solution by mass percentage is 4% and mass of the solvent is 42g.Find the volume of the solution, if the density of the solution is 1.87g/mL.

Answer :-

• The volume of the solution =23.39mL.

Given :-

• The concentration of a solution by mass percentage is 4% and mass of solvent is 42g.

To find :-

• The volume of solution.

Explanation :-

• Consider,
• The mass of solute be' x 'g

• We know that,

• Mass of solution =mass of solute+mass of the given solvent.
• According to the given question,
• $= (x + 42)g$

$\mathcal\red{Now,}$

• Finding mass percentage concentration

• We know that

$= \frac{mass \: of \: solute}{mass \: of \: solution} \times 100$

• $\frac{x}{x + 42} \times 100 = 4$

• $100x = 4(x + 42)$

• $100x = 4x + 168$

• $100x - 4x = 168$

• $96x = 168$

• $x = \frac{168}{96} = 1.75g.$

• Now here we get value of x .

• Applying value of x in the mass of solution formulae we get that,

$= mass \: of \: solute + mass \: of \: solvent$

• $= x + 42 = 1.75 + 42 = 43.75g$

《According to the given question we should find the volume of solution 》

$\mathcal\purple{So,}$

• To find volume we know the one formula that is ,

$volume \: of \: solution = \frac{mass}{density}$

• Now applying the values we get that,

• $volume = \frac{43.75}{1.87}$

• Here to get answer we should multiply 100 on both then we that,

• $volume = \frac{4375}{187}$
• $volume = 23.39mL$

$\mathcal\purple{Therefore ,}$

• The volume of solution=23.39 mL.

$\mathcal\red{Used formulae:-}$

• Here we used to get volume of solution answer by ,

• $\frac{mass}{density}$

Hope it helps u mate .

$\mathcal\purple{Thank you.}$