### Determine volume of the solution from molarity and weight of drug

4. Moles and Molarity 4.2) Molarity 4.2.1) Molarity - general

4.2.1.1) Molarity - general Normal 1

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A pharmacists needs to prepare 2 M of magnesium sulfate heptahydrate solution. If the quantity of magnesium sulfate heptahydrate is 180.45 g, then determine the volume of the solution, in milliliter unit. The molecular weight of magnesium sulfate heptahydrate is 120.3 g/mol. Click on the button below to see the answer and explanations

lb equals 750 mL kg

Molarity is the number of moles (n) dissolved per liter of solution (V). Again, mole is the weight in gram (g) divided by the molecular weight (a).
In this example, the volume of the solution is to be found out.

 Using formula method:
M=g/(aV) therefore V=g/(Ma)=(180.45 \quad g)/((2 (mol)/L) × (120.3 g/(mol)))
therefore V=0.75 \quad L which is 750 mL. Ans.

 Using conceptual method:
First, count the number of moles (n) of magnesium sulfate heptahydrate present in this solution. Mole is the gram amount of the solute divided by molecular weight. Therefore, n= (180.45 \quad g)/(120.3 \quad g/(mol)) = 1.5 \quad mol.
Then, determination of the volume in which 1.5 mol of magnesium sulfate heptahydrate will be present to give a molarity of 2. From the definition of molarity, 2 M means, 2 mole of solute will be dissolved in 1L of solution. Therefore, we can write,
(2 \quad mol)/(1 \quad L)=(1.5 \quad mol)/x therefore x = 0.75\quad L = 750\quad mL Ans.