Taking into account the definition of molar concentration and molar mass, the mass of potassium hydroxide, KOH, required to prepare 174.59 cm³ of a 0.864 mol/dm³ solution is 8.45988 grams.
Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by:
Molarity= number of moles÷ volume
The molar mass of substance is defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.
In this case, you know that:
Replacing in the definition of molar concentration:
0.864 mol/dm³= number of moles÷ 0.17459 dm³
Solving:
0.864 mol/dm³ ×0.17459 dm³= number of moles
0.1508 mol= number of moles
The molar mass of KOH is 56.1 g/mol. So, you can apply the following rule of three: If by definition of molar mass 1 mole of the compound contains 56.1 grams, 0.1508 moles of the compound contains how much mass?
mass= (0.1508 moles×56.1 grams)÷ 1 moles
mass= 8.45988 grams
In summary, the mass of potassium hydroxide, KOH, required to prepare 174.59 cm³ of a 0.864 mol/dm³ solution is 8.45988 grams.
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