Question

solution of hydrochloric acid is labelled as 60% mass by volume the density of the solution is 1.1 gram per ml find out the concentration of the solution in percent as mass by mass​

Answer 1

Answer :-

Concentration of solution [mass by mass percentage] is 54.54 % .

Explanation :-

We have :-

→ Concentration (m/v %) = 60 %

→ Density of solution = 1.1 g/mL

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Let the mass of the solute be x grams and volume of the solution be 100 mL . Then, we have :-

⇒ (x/100) × 100 = 60

⇒ x/100 = 60000

⇒ x = 60000/100

⇒ x = 60 g

Mass of the solution :-

= Volume × Density

= 100 × 1.1

= 110 g

Concentration of solution (m/m %) :-

= Mass of solute/Mass of solution × 100

= (60/110) × 100

= 6000/110

= 54.54 %

Answer 2

Answer:

54.55% (approx.)

Explanation:

Let mass of solute be 60z and mass of solution be 100z. {just assigning variables to units whose quantites we don't know.}

Concentration (m/v %) = 60%

Density = Mass/Volume = 1.1 g/ml

Mass of solution = Density * volume = 1.1 * 100z = 110z

Concentration (m/m %) = mass of solute / mass of solution * 100%

                                      = 60z / 110z * 100%  {cancel the variable since it's o both sides.}

                                      = 600/11 % = 54.54545455% (approx.) (It is rational number and a non terminating, recurring decimal)

I myself had trouble solving this at first, so, I have answered in the most easy-to-understand way.