Determine weight of drug from molarity and volume of the solution
4. Moles and Molarity 4.2) Molarity 4.2.1) Molarity - general
4.2.1.1) Molarity - general Normal 1
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How many grams of magnesium acetate tetrahydrate (MW = 142.4 g/mol) should be dissolved in 1000 mL of a solution so that the strength is 0.65 M?
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lb equals 92.56 g kg
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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 1000 mL, or 1 L.
[1] Using formula method:
`M=g/(aV) therefore g=MaV`
`g=0.65 × 142.4 × 1 = 92.56` grams. Ans.
[2] Using conceptual method:
First, count the number of moles (`n`) of magnesium acetate tetrahydrate present in this solution. 0.65 M means, there is 0.65 number of moles of magnesium acetate tetrahydrate present in 1000 mL of the solution.Therefore,
`(0.65\quad mol)/(1000 \quad mL)=x/(1000 \quad mL) therefore x = 0.65 \quad mol`
Then, calculate how many grams of magnesium acetate tetrahydrate will be contained in 0.65 mol. Mole (`n`) is the gram weight (`g`) divided by molecular weight (`a`), or `n=g/a`. Therefore, `g = n × a = 0.65 \quad mol × (142.4 \quad g/(mol)) = 92.56` g. Ans.