joy is preparing 15 liters of a 25% saline solution. she only has 40% and 10% solution in her lab. how many liters of the 40% and how many liters of the 10% should she mix to make the 25% solution?



Answer :

12 liters of the 10% joy should mix to make the 25% solution

What is meant by Molarity?

Molarity: Molar concentration is a measure of the concentration of a chemical species, in particular of a solute in a solution, in terms of amount of substance per unit volume of solution. In chemistry, the most commonly used unit for molarity is the number of moles per liter, having the unit symbol mol/L or mol/dm³ in SI unit.

To create 15 liters of a 25% saline solution, Joy requires 10 liters of a 40% solution and 10 liters of a 10% solution.

A substance's concentration can be stated using a number of different units, including moles, percent (%) weight/volume, molarity, molality, parts per million (ppm), and mole fraction. The concentration reveals how much solute is present in a given amount of solvent.

Molarity (M)

The molarity indicates how many moles of solute there are in a liter of solution. M=n/V

Mixed Molarity (Mc)

The formula can be applied to the molarity of a mixture of 2 solutions.

V1 .M1 +V2. M2 = Vc Mc

Mc={(M1 x V1)+(M2 x V2)}/Vc

Vc= mixed volume

Mc= mixed volume

V1= volume of solution 1

M1 = solution's molarity 1

V2 = volume of solution 2.

M2 =molarity of solution 2

15liters of a 25% saline solution are being made by Joy. In her lab, she only has a 40% solution and a 10% solution, therefore

Mc = 25%

Vc = 15 L

M1 = 40%

M2 = 10%

15 = V1+V2

15 - V1 = V2

25%={(40%x V1)+(10%x(15-V1))}/15

3.75=(0.4V1)+(1.5-0.1V1)

3.75-1.5=0.4V1-0.V1

3.6=0.3V1

V1=12 L

12 liters of the 10% she should mix to make the 25% solution

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