Considering the definition of molar mass and molarity, the volume of each compound is:
- NaCl= 0.1355 L
- C₂H₆O = 0.0622 L
- CH₃COOH = 0.047 L
Definition of molar mass
The molar mass of substance is a property 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.
Definition of molarity
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 dividing the moles of solute by the volume of the solution:
\(molarity=\frac{number of moles}{volume}\)
Molarity is expressed in units \(\frac{moles}{liter}\).
Volume required
You know that the molar mass of each compound is:
- NaCl = 58.44 g/mol
- C₂H₆O = 46.06 g/mol
- CH₃COOH = 60.0 g/mol
On the other side, you know that the mass of each compound is:
- NaCl = 2.14 g
- C₂H₆O = 4.30 g
- CH₃COOH = 0.85 g
Then, considering the definition of molar mass, the amount of moles of each compound is:
- NaCl = \(\frac{2.14 g}{58.44 g/mol}\)= 0.0366 moles
- C₂H₆O = \(\frac{4.30 g}{46.06 g/mol}\)= 0.0933 moles
- CH₃COOH = \(\frac{0.85 g}{60.0 g/mol}\)= 0.0141 moles
The molarity of each compound is:
- NaCl = 0.27 M
- C₂H₆O = 1.50 M
- CH₃COOH = 0.30 M
Considering the molarity, the volume of each compound is calculated as:
- NaCl = \(\frac{0.0366 moles}{0.27 M}\)= 0.1355 L
- C₂H₆O = \(\frac{0.0933 moles}{1.50 M}\)= 0.0622 L
- CH₃COOH = \(\frac{0.0141 moles}{0.30 M}\)= 0.047 L
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