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# Strength of Solution in - Definitions, Formulas, Practice Problems

You are the in-charge of your school sports committee, during a race of 3000 m, you have been assigned to prepare a water-glucose solution for participants. How do you instruct your co-worker about the composition of water and glucose?

The concentration of the solution in grams per litre is known as the strength of the solution. Simply, you instruct how much glucose in grams should be dissolved in 1000 mL of solution.

Water - Glucose solution

## Strength of solution

It is a measure of the concentration of the solution in terms of grams of solutes present in 1000 mL of solution.

Strength of solution

## Some important relations of the strength of solution with other concentration terms

• Strength of solution & molarity of solution:- Strength of solution = Molarity (M) Molar mass of solute
• Strength of solution & normality of solution:- Strength of solution = Normality (N) Equivalent weight solute

## Practice problems

Q 1. Calculate the strength of the solution of NaOH, prepared by dissolving its 40 g in sufficient water to form 1250 mL of the solution.

A. 0.32 g L-1

B. 32 g L-1

C. 0.032 g L-1

D. None of these

Solution:

= 0.032 g L-1

Q 2. Calculate the strength of the solution when 100 g of gold granules are added to water to form 1000 mL of the mixture. The density of gold = 19 G CM-3

A. 5.26 g L-1

B. 10 g L-1

C. 2.32 g L-1

D. Can’t be determined

Solution:  gold is insoluble in water. So, its concentration can not be calculated.

Q 3. Calculate the strength of  H2O2 solution for 1.5 M H2O2 solution.

A. 51 g L-1

B. 25.5 g L-1

C. 34 g L-1

D. 17 g L-1

Solution: Molarity = 1.5 M (given)

Molar mass of H2O2= 34 g mol-1

We know, Strength of solution = Molarity (M) Molar mass of solute

= 1.5 M 34 g mol-1

= 51 g L-1

Q 4. 100 mL of 1.5 N HCl and 200 mL of 2.5 N HCl solution are mixed then find the strength of the resulting solution.

A. 84.56 g L-1

B. 65.5 g L-1

C. 94.76 g L-1

D. 79.21 g L-1

Q 1. Concentration term strength of the solution is temperature-dependent or not?

Answer:  Yes, the Strength of the solution is temperature dependent, because solubility is temperature-dependent. With an increase in temperature, generally the amount of solute soluble in a given volume of solvent increases.

Q 2. Why do we need different types of concentration terms?

Answer:  All concentration terms directly or indirectly give information about the amount of solute present in a particular amount of solution. In the commercial world, there is some conventions to represent the amount of solute in solution in their own unique way.

E.g-   in case of H2O2volume strength term is used

in case of water hardness, ppm (parts per million) term is used

in case of oleum,H2SO4.SO3, the strength of solution term is used

Q 3. Can we convert the strength of the solution directly into molality?

Answer:  No, the strength of the solution depends on the volume of the solution. So, to convert it into molality (mass-dependent), the density of the solution must be required.

Q 4. Is there any difference between a solution having 35 % and a solution with 35 g L-1 strength?

Answer:  35 % solution, means 35 g solute present in 100 mL of the solution but 35 g L-1 strength of solution, which means 35 g solute present in 1000 mL solution.

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