Determine weight of drug from molarity and volume of the solution

4. Moles and Molarity 4.2) Molarity 4.2.1) Molarity - general Molarity - general Normal 1

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How many grams of NaCl (MW = 58.5 g/mol) should be dissolved in 450 mL of a solution so that the strength is 0.95 M?

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lb equals 25.00875 g 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 450 mL, or 0.45 L.

    [1] Using formula method:
    `M=g/(aV) therefore g=MaV`
    `g=0.95 × 58.5 × 0.45 = 25.00875` grams. Ans.

    [2] Using conceptual method:
    First, count the number of moles (`n`) of NaCl present in this solution. 0.95 M means, there is 0.95 number of moles of NaCl present in 1000 mL of the solution.Therefore,
    `(0.95\quad mol)/(1000 \quad mL)=x/(450 \quad mL) therefore x = 0.4275 \quad mol`
    Then, calculate how many grams of NaCl will be contained in 0.4275 mol. Mole (`n`) is the gram weight (`g`) divided by molecular weight (`a`), or `n=g/a`. Therefore, `g = n × a = 0.4275 \quad mol × (58.5 \quad g/(mol)) = 25.00875` g. Ans.